Shut your mouth! spoken
Shut your face! spoken
Shut your trap! spoken
Shut your gob! BrE spoken
Shut your hole! spoken
Shut it! BrE spoken

We don't need more world leaders to tell him to shut his trap.

But, hell, he kept his trap shut as to that.

That means I have to shut your trap, make it look like you went over the edge and did all this.

She hoped it would stay trap shut about Simon's mother's shoes.

"You'd better shut your big trap," said she almost angrily.

You've managed to keep your big trap pretty well shut when I've carried conversation with the right sort of people.

Seeing the jaws of the trap close shut about them would not save Rafael's forces.

Darling, would you mind keeping your trap shut for a while?

"Shut your trap," he said, as I opened it to protest.

I shut my trap and sat and gazed at him.