I can't connect my iphone 5s to itunes?

I have an iPhone 5s and I want to connect it to iTunes. When I connected it to my laptop, it synced, then it said that my device has "timed out"?

If you mean iTunes can't recognize the iPhone 5s, I found this solution to work. Try this first:
a) Get Windows to restart the drivers:
- disconnect your USB device and close ITunes
- connect your USB device
- if ITunes loads, close it.

b) File explorer:
Open File explorer and browse to
C:\Program Files\Common Files\Apple\Mobile Device Support\Drivers
In that folder there should be a set of files named "usbaapl64…"
right click on the one ending in "INF"
Select Install. It's very quick.
remove the USB device

c) Restart the computer.
When you login again, load ITunes before you attach your USB device.

d) If still not works, try re-install iTunes. Go into the Unstall Programs (in Control Panel) and uninstall everything that says Apple, and uninstall Bonjour. With the fresh install of iTunes, everything came back and is should work. Hope it helps.

f) If you just want to add some photos, songs and movies from computer to your iPhone, you can use an iTunes alternative to do the job.