Easiest and best way: use phps session-management - every client is given an ID, stored in a cookie (if enabled) or given as a get-variable on every link and form (alternatively you could set a cookie on your own). But, this only "fingerprints" the browser - if the user changes his browser, deletes his cookies or whatever, you can't identify it anymore.
Identifying every client by IP address is usually a bad idea and won't work. Clients that use the same router will have the same IP addresses - clients connected through a proxy-pool could have another IP address with every page load.
If you need a solution that can't be manipulated by the client in an easy way, try to do a combination of the following, using all that are supported by the clients browser and compare them on each page-load:
- "normal" HTTP Cookies
- Local Shared Objects (Flash Cookies)
- Storing cookies in RGB values of auto-generated, force-cached PNGs using HTML5 Canvas tag to read pixels (cookies) back out
- Storing cookies in and reading out Web History
- Storing cookies in HTTP ETags
- Internet Explorer userData storage
- HTML5 Session Storage
- HTML5 Local Storage
- HTML5 Global Storage
- HTML5 Database Storage via SQLite
There's a solution called evercookie that implements all of this.