diff --git a/src/Sql/Select.php b/src/Sql/Select.php
index 183750be..7348393f 100644
--- a/src/Sql/Select.php
+++ b/src/Sql/Select.php
@@ -12,9 +12,11 @@
 
 use function array_key_exists;
 use function array_key_first;
+use function array_map;
 use function count;
 use function explode;
 use function gettype;
+use function implode;
 use function is_array;
 use function is_int;
 use function is_numeric;
@@ -23,6 +25,7 @@
 use function key;
 use function method_exists;
 use function preg_split;
+use function str_replace;
 use function strcasecmp;
 use function stripos;
 use function strtolower;
@@ -604,7 +607,7 @@ protected function processOrder(
             }
 
             $orders[] = [
-                $platform->quoteIdentifierInFragment($k),
+                $this->quoteOrderIdentifier($k, $platform),
                 strcasecmp(trim($v), self::ORDER_DESCENDING) === 0
                     ? self::ORDER_DESCENDING
                     : self::ORDER_ASCENDING,
@@ -770,6 +773,35 @@ private function prefixFromTable(?string $fromTable, PlatformInterface $platform
             : '';
     }
 
+    /**
+     * Quote an order name, keeping fragment quoting only where it renders each part as a single identifier
+     *
+     * Fragment quoting splits on every non-word character, so a name such as `x-y` or `my col` would render
+     * as several quoted pieces. Such a name is quoted whole as an identifier chain instead, split only on
+     * the table qualifier dot. Names whose parts between `*` and `.` already quote whole, such as `t.col`
+     * or `price*qty`, render exactly as before.
+     */
+    private function quoteOrderIdentifier(string $name, PlatformInterface $platform): string
+    {
+        foreach (explode('.', str_replace(self::SQL_STAR, replace: '.', subject: $name)) as $segment) {
+            $segment = trim($segment, characters: ' ');
+            $quoted  = $platform->quoteIdentifierInFragment($segment);
+            if ($quoted !== $segment && $quoted !== $platform->quoteIdentifier($segment)) {
+                return implode(
+                    $platform->getIdentifierSeparator(),
+                    array_map(
+                        static fn(string $part): string => self::SQL_STAR === $part
+                            ? $part
+                            : $platform->quoteIdentifier($part),
+                        explode('.', $name),
+                    ),
+                );
+            }
+        }
+
+        return $platform->quoteIdentifierInFragment($name);
+    }
+
     /**
      * @param Select|TableReference|null $table
      * @return array{0: string|null, 1: string}
diff --git a/test/unit/Sql/SelectOrderNameTest.php b/test/unit/Sql/SelectOrderNameTest.php
new file mode 100644
index 00000000..d400142b
--- /dev/null
+++ b/test/unit/Sql/SelectOrderNameTest.php
@@ -0,0 +1,142 @@
+<?php
+
+declare(strict_types=1);
+
+namespace PhpDbTest\Sql;
+
+use PhpDb\Adapter\Platform\PlatformInterface;
+use PhpDb\Sql\Expression;
+use PhpDb\Sql\ExpressionInterface;
+use PhpDb\Sql\Select;
+use PhpDbTest\TestAsset\HyphenWordSql92Platform;
+use PhpDbTest\TestAsset\TestSql92Platform;
+use PhpDbTest\TestAsset\TrustingSql92Platform;
+use PHPUnit\Framework\Attributes\CoversMethod;
+use PHPUnit\Framework\Attributes\DataProvider;
+use PHPUnit\Framework\Attributes\Group;
+use PHPUnit\Framework\Attributes\Test;
+use PHPUnit\Framework\TestCase;
+
+#[Group('unit')]
+#[CoversMethod(Select::class, 'order')]
+#[CoversMethod(Select::class, 'processOrder')]
+#[CoversMethod(Select::class, 'quoteOrderIdentifier')]
+final class SelectOrderNameTest extends TestCase
+{
+    /**
+     * @return array<string, array{ExpressionInterface|array<int|string, string|ExpressionInterface>|string, string}>
+     */
+    public static function brokenOrderProvider(): array
+    {
+        return [
+            'hyphen'                    => ['x-y', '"x-y" ASC'],
+            'hyphen descending'         => ['x-y DESC', '"x-y" DESC'],
+            'dotted hyphen'             => ['t-1.x-y DESC', '"t-1"."x-y" DESC'],
+            'quote character'           => ['a"b DESC', '"a\'b" DESC'],
+            'non-ascii'                 => ['café DESC', '"café" DESC'],
+            'hyphen in comma list'      => ['x-y DESC, b', '"x-y" DESC, "b" ASC'],
+            'arithmetic with hyphen'    => ['price*x-y DESC', '"price*x-y" DESC'],
+            'hyphen array key'          => [['x-y' => 'DESC'], '"x-y" DESC'],
+            'space array key'           => [['my col' => 'DESC'], '"my col" DESC'],
+            'dotted space array key'    => [['t.my col' => 'ASC'], '"t"."my col" ASC'],
+            'quote character array key' => [['a"b' => 'DESC'], '"a\'b" DESC'],
+            'non-ascii array key'       => [['café' => 'DESC'], '"café" DESC'],
+            'hyphen array list'         => [['x-y DESC', 'b'], '"x-y" DESC, "b" ASC'],
+            'hyphen qualified star'     => ['x-y.* DESC', '"x-y".* DESC'],
+        ];
+    }
+
+    /**
+     * @return array<string, array{PlatformInterface, string, string}>
+     */
+    public static function platformOrderProvider(): array
+    {
+        return [
+            'hyphen word character'             => [new HyphenWordSql92Platform(), 'x-y DESC', '"x-y" DESC'],
+            'hyphen word character arithmetic'  => [
+                new HyphenWordSql92Platform(),
+                'price*x-y DESC',
+                '"price"*"x-y" DESC',
+            ],
+            'hyphen word character with plus'   => [new HyphenWordSql92Platform(), 'x+y DESC', '"x+y" DESC'],
+            'identifier quoting off'            => [
+                new TestSql92Platform(quoteIdentifiers: false),
+                'x-y DESC',
+                'x-y DESC',
+            ],
+            'identifier quoting off arithmetic' => [
+                new TestSql92Platform(quoteIdentifiers: false),
+                'price*qty DESC',
+                'price*qty DESC',
+            ],
+        ];
+    }
+
+    /**
+     * @return array<string, array{ExpressionInterface|array<int|string, string|ExpressionInterface>|string, string}>
+     */
+    public static function validOrderProvider(): array
+    {
+        return [
+            'plain'                       => ['a', '"a" ASC'],
+            'plain descending'            => ['a DESC', '"a" DESC'],
+            'lower case descending'       => ['a desc', '"a" DESC'],
+            'dotted'                      => ['t.col DESC', '"t"."col" DESC'],
+            'comma list'                  => ['a DESC, b', '"a" DESC, "b" ASC'],
+            'arithmetic'                  => ['price*qty DESC', '"price"*"qty" DESC'],
+            'string with space'           => ['my col DESC', '"my" ASC'],
+            'array key'                   => [['a' => 'DESC'], '"a" DESC'],
+            'array key unknown direction' => [['a' => 'sideways'], '"a" ASC'],
+            'spaced arithmetic key'       => [['price * qty' => 'DESC'], '"price" * "qty" DESC'],
+            'dotted arithmetic key'       => [['t.price*t.qty' => 'DESC'], '"t"."price"*"t"."qty" DESC'],
+            'trailing space key'          => [['a ' => 'DESC'], '"a"  DESC'],
+            'safe word part'              => [['t.as' => 'DESC'], '"t".as DESC'],
+            'array list'                  => [['a DESC', 'b'], '"a" DESC, "b" ASC'],
+            'expression'                  => [new Expression('RAND()'), 'RAND()'],
+            'expression in array'         => [['a', new Expression('RAND()')], '"a" ASC, RAND()'],
+        ];
+    }
+
+    #[Test]
+    #[DataProvider('platformOrderProvider')]
+    public function followsThePlatformFragmentRulesForOrderNames(
+        PlatformInterface $platform,
+        string $order,
+        string $expected,
+    ): void {
+        $select = (new Select('foo'))->order($order);
+
+        self::assertStringEndsWith(" ORDER BY {$expected}", $select->getSqlString($platform));
+    }
+
+    /**
+     * @param ExpressionInterface|array<int|string, string|ExpressionInterface>|string $order
+     */
+    #[Test]
+    #[DataProvider('brokenOrderProvider')]
+    public function quotesOrderNameAsIdentifierChainWhenFragmentQuotingWouldBreakIt(
+        ExpressionInterface|array|string $order,
+        string $expected,
+    ): void {
+        self::assertSame("SELECT \"foo\".* FROM \"foo\" ORDER BY {$expected}", $this->render($order));
+    }
+
+    /**
+     * @param ExpressionInterface|array<int|string, string|ExpressionInterface>|string $order
+     */
+    #[Test]
+    #[DataProvider('validOrderProvider')]
+    public function rendersValidOrderUnchanged(ExpressionInterface|array|string $order, string $expected): void
+    {
+        self::assertSame("SELECT \"foo\".* FROM \"foo\" ORDER BY {$expected}", $this->render($order));
+    }
+
+    /**
+     * @param ExpressionInterface|array<int|string, string|ExpressionInterface>|string $order
+     */
+    private function render(ExpressionInterface|array|string $order): string
+    {
+        return (new Select('foo'))->order($order)
+            ->getSqlString(new TrustingSql92Platform());
+    }
+}
diff --git a/test/unit/TestAsset/HyphenWordSql92Platform.php b/test/unit/TestAsset/HyphenWordSql92Platform.php
new file mode 100644
index 00000000..224cbe48
--- /dev/null
+++ b/test/unit/TestAsset/HyphenWordSql92Platform.php
@@ -0,0 +1,15 @@
+<?php
+
+declare(strict_types=1);
+
+namespace PhpDbTest\TestAsset;
+
+use PhpDb\Adapter\Platform\Sql92;
+
+/**
+ * SQL-92 platform whose identifier fragment pattern treats `-` as a word character, as phpdb-mysql does
+ */
+final class HyphenWordSql92Platform extends Sql92
+{
+    protected string $quoteIdentifierFragmentPattern = '/([^0-9,a-z,A-Z$_\-:])/i';
+}