It is the electrical unit of resistance. The value of resistance through which a potential of one volt will maintain a current of one ampere.
Ok layman's terms...a speaker hooked up to an amp causes an electrical resistance. The smaller the number the less resistance there is, the higher the number the harder the amp has to work.
Most speakers range from 4 to 8 Ohm's
Now you may be thinking that you should just go with the lowest Ohm rating you can find...well you shouldn't.
Think of it like a garden hose, a regular open end would be an 8 Ohm speaker, and when you add a nosel to it to get a smaller faster stream of water that would be a 4 Ohm speaker. The problem is that a lower Ohm rating might cause the amp to overheat and shut down, but a large Ohm rating like 16 or more (if you had the speakers wired wrong) would lead to a lack of volume to the speakers.
Does that help?