When I tried to login to the windows 2000 servery by local account using RDP/RDC it logs in and logs off immediately
but I can able to login by using my domain ID and password.
I need to login by local account, by RDP/RDC, it is not letting me to login and work, please help.
Full TS server or only the default 2 x admin RDP?
If full TS server: is the local user added to the correct user group that has access to the TS
If only admin: is the local user an admin?
Check the eventvwr logs at those times you attempt to log in. For the security log, enable it if nothing is there, auditing for unsuccesful login attempts. If unsuccesful logins are seen, it's probably a password issue (try to log in as servername\user instead of the usual domain\user)
Other possible test, create a totally new local admin, try to connect with that one. If it works, try to transfer the files you need (continue using this new account)