It means to "hold back," "withstand," "refrain from doing something."
For example, you can say, 那個人常常胡說八道,但是我忍住不拆穿。
That person often tells lies, but I hold back from revealing his ways.
我急著想上廁所,但找不到公共廁所,所以只好忍住不上。
I really have to relieve myself, but I can't find a public restroom, so I just have to hold it.
Hope this helps.