Does the neewer tt560 speedlite flash work on a Nikon D3100?

I need a inexpensive, but good flash, and this speedlite has received great reviews, I just want to make sure it works with my nikon d3100 before I buy it.

Since it's designed for all Canon and Nikon cameras, then I'm sure it'll work with it as it has a hot shoe.

Yes, your camera has a hotshoe that is used to mount and fire a flash.