How to register USA green card lottery without any payments?

Answer 1

Of course there is a green card lottery. It is called the Diversity Visa Lottery, is held every year, and gives 50,000 immigrant visas to the winners. It will begin again this year on October 4th.

If you want to really enter and not get scammed, this is the ONLY correct web address: http://dvlottery.state.gov/

In the meantime, here is information from last year that will help you to get ready:
http://www.travel.state.gov/visa/immigrants/types/types_1318.html

Answer 2

There is no such program. The last one (and the first one) was in the late 80s.