Depending on the age of the home and if the home is older then it may be that many other circuits do not have a ground wire as well. If not look for a screw hole in the box.

How To Wire A Ceiling Fan The Home Depot
Ceiling fan no ground wire. But check will all local building codes because it may require a rewiring of your home to bring it up to date. If theres a screw inside the metal box connect the ground wire from the fixture to it. For rooms without switches ceiling fan remotes can alleviate the need of using a pull chain. The approach recommended by most professional electricians is to replace the standard. The white wire is your neutral wire the copper wire is the grounded wire and the black wire powers the fan. Mike if a ground wire is not available then it is best to run a ground wire from another electrical circuit that has a ground wire.
Installing a ceiling fan where there is no ground wire. Connect the black wires together. You can put a short 8 32 machine screw in the hole then connect the ground wire to that screw. So if you wire your fan without the ground wire it will still work properly. The installation of the ceiling fan without the ground wire will not affect the performance of the ceiling fan however this safety system that is provided through the ground system will not be available. Wrap the bare or green wire from the ceiling light around the same screw.
I have provided the following links that lead to fully detailed information on this website that will assist you with your electrical question. The black and blue wires are called hot wires because they hold electrical current. If you have a blue and black wire hanging out from your ceiling you should also have 2 switches on your wall. The ground wire carries displaced electricity away to reduce the risk of electrical shock if lets say the metal parts of the ceiling fan or any other appliance or part attached to your electrical system becomes accidentally charged with electricity. Connect the green wire to your household ground wire copperbare wire. Consider wiring the light yourself to save money on an electrician and gain experience in electrical repairs for your home.
Installing light fixtures that have no ground wire is something that can be done by yourself. You can take one of two approaches when installing a ceiling fan on a branch circuit that has no ground wire. Putting a screw in an electrical box can be a pain. Wrap the bare ground wire you attached to the electrical box around the green ground screw attached to the strap. Connect the white wires neutral wires from your fan and ceiling together.