Securing DHCP

Is there a way to secure DHCP, i.e. respond only to DHCP requests from known hosts?

My Win2000 DHCP server gets requests from rogue devices connected to our network. Right now I have someone prowling DHCP daily and creating reservations for theserogues with a bad router address and bad DNS information so they can’t get far, but this is chickenpoop security. I want to simply deny/ignore the rogues’ request for an IP address.