diff --git a/spring-boot-project/spring-boot-autoconfigure/src/main/java/org/springframework/boot/autoconfigure/condition/ConditionalOnProperty.java b/spring-boot-project/spring-boot-autoconfigure/src/main/java/org/springframework/boot/autoconfigure/condition/ConditionalOnProperty.java
index a4b8f947b58..8bd4647a0cd 100644
--- a/spring-boot-project/spring-boot-autoconfigure/src/main/java/org/springframework/boot/autoconfigure/condition/ConditionalOnProperty.java
+++ b/spring-boot-project/spring-boot-autoconfigure/src/main/java/org/springframework/boot/autoconfigure/condition/ConditionalOnProperty.java
@@ -1,5 +1,5 @@
 /*
- * Copyright 2012-2021 the original author or authors.
+ * Copyright 2012-2024 the original author or authors.
  *
  * Licensed under the Apache License, Version 2.0 (the "License");
  * you may not use this file except in compliance with the License.
@@ -117,6 +117,9 @@ public @interface ConditionalOnProperty {
 	 * <p>
 	 * Use the dashed notation to specify each property, that is all lower case with a "-"
 	 * to separate words (e.g. {@code my-long-property}).
+	 * <p>
+	 * If multiple names are specified, all of the properties have to pass the test for
+	 * the condition to match.
 	 * @return the names
 	 */
 	String[] name() default {};
diff --git a/spring-boot-project/spring-boot-docs/src/docs/asciidoc/features/developing-auto-configuration.adoc b/spring-boot-project/spring-boot-docs/src/docs/asciidoc/features/developing-auto-configuration.adoc
index 4184cef7eb0..e00eef8dd75 100644
--- a/spring-boot-project/spring-boot-docs/src/docs/asciidoc/features/developing-auto-configuration.adoc
+++ b/spring-boot-project/spring-boot-docs/src/docs/asciidoc/features/developing-auto-configuration.adoc
@@ -114,6 +114,8 @@ Use the `prefix` and `name` attributes to specify the property that should be ch
 By default, any property that exists and is not equal to `false` is matched.
 You can also create more advanced checks by using the `havingValue` and `matchIfMissing` attributes.
 
+If multiple names are given in the `name` attribute, all of the properties have to pass the test for the condition to match.
+
 
 
 [[features.developing-auto-configuration.condition-annotations.resource-conditions]]