Can't add an user from domain to be admin on my local computer

[fantasystranger2]

I have a win2000 server which configured to be Domain Controller. now i install one more comp 2kserver to be a member of that domain, but when i try to add 1 user from that domain into administrator group in local computer, then i met a message: ...Domain name server could not be exist...
anyone can help me to solve this prob.
Thanks in advance
My english not good, so you can ask me more if you don't understand clearly.

 

[EndAll]

It's a DNS issue. Active Directory is built on DNS.. Do you have DNS running???

 

[fantasystranger2]

Thank you very much, the problem is solved, i typed the IP of DNS server on local 2kserver's TCP/IP. Then the problem is solved. Problem is correctly DNS