My Iphone 5s's screen is unresponsive?

It just doesn't react to touch, if i leave it sometimes it might work for a few seconds and then not work, it barely slides, i took the screen protector off and hard reset it a few times, the screen still is unresponsive

How do i fix this?

Try a hard restart.
You should force restart your iPhone, iPad, or iPod touch as a last resort, and only if it's not responding. To force restart your device, press and hold both the Sleep/Wake and Home buttons for at least ten seconds, until you see the Apple logo.

And if this not work, you should need to replace your screen.
Buy it online is more cheap from amazon, hcqs.us