You seem to be asking specifically about general relativity, not special theory, that everyone here seems to be talking about.
The main point of the GR is that gravity is not really a force, but has the same nature as inertia. When you are on a bus, and it suddenly starts moving, you feel a "force" pulling you towards the back. This is the same kind of force that pulls you towards Earth, according to GR.
In some sense, we are all moving along the axis of time with the speed of light (that movement we interpret as time passing by). In the absense of gravity, the space-time is flat, and this axis is a straight line. But a presence mass, according to GR, curves the space-time a little, so that it is no longer flat, and the time axis, along which we are moving is no longer straight. Now, when you move along a curved path, like on a carusel, you feel a "centrifugal force" pushing you away from the center - the same thing happens in GR, only in 4-d - the mass close by curves your path in space-time, and makes you feel the "centrifugal force" that we call gravitiy.