It depends on the nature of game, childish games are good but voilent games should not be played by little kids.

Ps3 is mosly known for its violent games. kids 6-7 usually would prefer the simplicity of the nintendo games. I would recommend the nintendo WII. Alway look at the age appropriate sign at the bottom of the game. E is for every one E+10 is for everyone older than 10, T is for teen and M is for mature. I really reacommend buying the game that is apropriate to your childs age.