Cluster network name resource 'Cluster Name' failed registration of one or more associated DNS name(s) for the following reason:The handle is invalid.

Cluster network name resource 'Cluster Name' failed registration of one or more associated DNS name(s) for the following reason:The handle is invalid.

Reason: 

If the DAG cluster name DNS record is deleted and when it created manually it fails to register.

Solution:

• Go to DNS Server - Find the record ( A & Pointer record) for the cluster name resource.
• Right click and go to properties
• In the security make sure the "Authenticated users" group and Exchange Server Node name is included
• Make sure it has "Write" rights and Special permissions
• Click Advanced, locate authenticated users and click edit
• Make sure Write all properties Read permissions All Validated Writes selected
• Go to the failover clustering console bring the server offline and repair the cluster.
• When repair is completed the Cluster will become online automatically

Detail post on how cluster DNS registration works - Ref : http://blogs.msdn.com/b/clustering/archive/2009/07/17/9836756.aspx