If i replace my iphone 5s screen will the fingerprint id still work?

I Want to replace my iPhone 5s screen but will the finger print still work after I unplug it and plug back in? I'm unsure about this for some reason.

Yes of course. The screen has nothing to do with TouchID. After turning it back on you will have to enter your Apple ID password the first time, and then after that TouchID will work as normal.