How to insert record to SQL server which is on the other machine from client computer?

I want to write simple sql database project that that works in the network. and i need to insert record from a client to a server that is on the other machine.

This is a pretty broad question. I suggest you do some additional research online or via any one of a number of excellent books, articles or whitepapers.

This will require that you (at least)

Install and configure the SQL Server on the remote system.