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1. A person whose face is "monged" i.e. a very weird looking person.
2. A website that shows a man inserting a telephone into his anus. A grossout website similar in content to websites such as meatspin and lemonparty.
1. Look at Joe Cole, he is a mongface.
2. That man is performing a mongface ritual with the telephone reciever.
by Dj otzi February 15, 2006
When someone is being morose because they haven't got their own way they often pull a face and lip like a sulky Downs Syndrome

"Why can't I have it"?

"because you can't, and you can take that Mong Face off as well"!
by APPLEBY-QUOTES October 04, 2008