Updating group policies
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Also make sure your DNS server are listed on the Name Servers tab. Ok so given that your DHCP server is not registering the records on behalf of the clients, and aside from your windows clients not being set to register with DNS on their NICs (which you should verify in TCP/IP properties on the client NIC), I would check the security settings on your reverse zone to make sure clients are allowed to register in the reverse zone.
If your DHCP server is also a domain controller, then you are probably fine, if not, then you may want to see if the DHCP server is a member of the "Dns Update Proxy" group in AD.