The pair clashed on lap 12 at the Marina Bay track, leaving both requiring repair work in the pits and Hamilton with a 15-second penalty.
After the race 30-year-old Massa called for the sport's governing body to punish McLaren's Hamilton for his part in the coming together.
"My thoughts are that, again, he cannot use his mind, even in qualifying," Massa told BBC Sport. "Again, he could've caused a big accident. He's paying for it.
"He doesn't understand that. He has done it to me so many times this year.
"It's important the FIA study this and penalise him every time. I've talked to him but he doesn't listen."
Massa ended the Grand Prix in ninth position, while Hamilton took fifth.