diff --git a/wp-includes/block-supports/layout.php b/wp-includes/block-supports/layout.php
index d3718930d5..71ade08f83 100644
--- a/wp-includes/block-supports/layout.php
+++ b/wp-includes/block-supports/layout.php
@@ -580,7 +580,33 @@ function wp_render_layout_support_flag( $block_content, $block ) {
 
 	// Child layout specific logic.
 	if ( $child_layout ) {
-		$container_content_class   = wp_unique_prefixed_id( 'wp-container-content-' );
+		/*
+		 * Generates a unique class for child block layout styles.
+		 *
+		 * To ensure consistent class generation across different page renders,
+		 * only properties that affect layout styling are used. These properties
+		 * come from `$block['attrs']['style']['layout']` and `$block['parentLayout']`.
+		 *
+		 * As long as these properties coincide, the generated class will be the same.
+		 */
+		$container_content_class = wp_unique_id_from_values(
+			array(
+				'layout'       => array_intersect_key(
+					$block['attrs']['style']['layout'] ?? array(),
+					array_flip(
+						array( 'selfStretch', 'flexSize', 'columnStart', 'columnSpan', 'rowStart', 'rowSpan' )
+					)
+				),
+				'parentLayout' => array_intersect_key(
+					$block['parentLayout'] ?? array(),
+					array_flip(
+						array( 'minimumColumnWidth', 'columnCount' )
+					)
+				),
+			),
+			'wp-container-content-'
+		);
+
 		$child_layout_declarations = array();
 		$child_layout_styles       = array();
 
@@ -706,16 +732,6 @@ function wp_render_layout_support_flag( $block_content, $block ) {
 	$class_names        = array();
 	$layout_definitions = wp_get_layout_definitions();
 
-	/*
-	 * Uses an incremental ID that is independent per prefix to make sure that
-	 * rendering different numbers of blocks doesn't affect the IDs of other
-	 * blocks. Makes the CSS class names stable across paginations
-	 * for features like the enhanced pagination of the Query block.
-	 */
-	$container_class = wp_unique_prefixed_id(
-		'wp-container-' . sanitize_title( $block['blockName'] ) . '-is-layout-'
-	);
-
 	// Set the correct layout type for blocks using legacy content width.
 	if ( isset( $used_layout['inherit'] ) && $used_layout['inherit'] || isset( $used_layout['contentSize'] ) && $used_layout['contentSize'] ) {
 		$used_layout['type'] = 'constrained';
@@ -806,6 +822,25 @@ function wp_render_layout_support_flag( $block_content, $block ) {
 			: null;
 		$has_block_gap_support = isset( $block_gap );
 
+		/*
+		 * Generates a unique ID based on all the data required to obtain the
+		 * corresponding layout style. Keeps the CSS class names the same
+		 * even for different blocks on different places, as long as they have
+		 * the same layout definition. Makes the CSS class names stable across
+		 * paginations for features like the enhanced pagination of the Query block.
+		 */
+		$container_class = wp_unique_id_from_values(
+			array(
+				$used_layout,
+				$has_block_gap_support,
+				$gap_value,
+				$should_skip_gap_serialization,
+				$fallback_gap_value,
+				$block_spacing,
+			),
+			'wp-container-' . sanitize_title( $block['blockName'] ) . '-is-layout-'
+		);
+
 		$style = wp_get_layout_style(
 			".$container_class",
 			$used_layout,
diff --git a/wp-includes/functions.php b/wp-includes/functions.php
index fcb60e6eb3..3eb9e89255 100644
--- a/wp-includes/functions.php
+++ b/wp-includes/functions.php
@@ -9174,3 +9174,33 @@ function wp_verify_fast_hash(
 
 	return hash_equals( $hash, wp_fast_hash( $message ) );
 }
+
+/**
+ * Generates a unique ID based on the structure and values of a given array.
+ *
+ * This function serializes the array into a JSON string and generates a hash
+ * that serves as a unique identifier. Optionally, a prefix can be added to
+ * the generated ID for context or categorization.
+ *
+ * @since 6.8.0
+ *
+ * @param array  $data   The input array to generate an ID from.
+ * @param string $prefix Optional. A prefix to prepend to the generated ID. Default ''.
+ *
+ * @return string The generated unique ID for the array.
+ */
+function wp_unique_id_from_values( array $data, string $prefix = '' ): string {
+	if ( empty( $data ) ) {
+		_doing_it_wrong(
+			__FUNCTION__,
+			sprintf(
+				__( 'The $data argument must not be empty.' ),
+				gettype( $data )
+			),
+			'6.8.0'
+		);
+	}
+	$serialized = wp_json_encode( $data );
+	$hash       = substr( md5( $serialized ), 0, 8 );
+	return $prefix . $hash;
+}
diff --git a/wp-includes/version.php b/wp-includes/version.php
index 2ba6f642a5..54d6a58ec0 100644
--- a/wp-includes/version.php
+++ b/wp-includes/version.php
@@ -16,7 +16,7 @@
  *
  * @global string $wp_version
  */
-$wp_version = '6.8-beta2-60037';
+$wp_version = '6.8-beta2-60038';
 
 /**
  * Holds the WordPress DB revision, increments when changes are made to the WordPress DB schema.