diff --git a/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/native/CocoaPodsIT.kt b/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/native/CocoaPodsIT.kt
index 3eb482e05a5..e2b71189bc0 100644
--- a/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/native/CocoaPodsIT.kt
+++ b/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/native/CocoaPodsIT.kt
@@ -871,13 +871,26 @@ class CocoaPodsIT : BaseGradleIT() {
     }
 
     @Test
-    fun testSyncFrameworkMultipleArchitectures() {
+    fun testSyncFrameworkMultipleArchitecturesWithCustomName() {
         with(project) {
-            gradleBuildScript().appendToKotlinBlock("iosArm64()")
-            gradleBuildScript().appendToKotlinBlock("iosArm32()")
+            val frameworkName = "customSdk"
+            gradleBuildScript().appendText(
+                """
+                    |
+                    |kotlin {
+                    |    iosArm64()
+                    |    iosArm32()
+                    |    cocoapods {
+                    |       framework {
+                    |           baseName = "$frameworkName"
+                    |       }
+                    |    }
+                    |}
+                """.trimMargin()
+            )
             hooks.addHook {
                 // Check that an output framework is a dynamic framework
-                val framework = fileInWorkingDir("build/cocoapods/framework/cocoapods.framework/cocoapods")
+                val framework = fileInWorkingDir("build/cocoapods/framework/$frameworkName.framework/$frameworkName")
                 with(runProcess(listOf("file", framework.absolutePath), projectDir)) {
                     assertTrue(isSuccessful)
                     assertTrue(output.contains("\\(for architecture armv7\\):\\s+current ar archive".toRegex()))
diff --git a/libraries/tools/kotlin-gradle-plugin/src/common/kotlin/org/jetbrains/kotlin/gradle/targets/native/cocoapods/KotlinCocoapodsPlugin.kt b/libraries/tools/kotlin-gradle-plugin/src/common/kotlin/org/jetbrains/kotlin/gradle/targets/native/cocoapods/KotlinCocoapodsPlugin.kt
index 5d84aaa967d..29a997da4b1 100644
--- a/libraries/tools/kotlin-gradle-plugin/src/common/kotlin/org/jetbrains/kotlin/gradle/targets/native/cocoapods/KotlinCocoapodsPlugin.kt
+++ b/libraries/tools/kotlin-gradle-plugin/src/common/kotlin/org/jetbrains/kotlin/gradle/targets/native/cocoapods/KotlinCocoapodsPlugin.kt
@@ -200,7 +200,9 @@ open class KotlinCocoapodsPlugin : Plugin<Project> {
 
             fatTargets.forEach { (_, targets) ->
                 targets.singleOrNull()?.let {
-                    task.from(it.binaries.getFramework(POD_FRAMEWORK_PREFIX, requestedBuildType))
+                    val framework = it.binaries.getFramework(POD_FRAMEWORK_PREFIX, requestedBuildType)
+                    task.baseName = framework.baseName //all frameworks should have same names
+                    task.from(framework)
                 }
             }
         }