Uniform circular motion can be described as the motion of an object in a circle at a constant speed. This happens because of a centripetal force, a force pointing towards the center of a circle.
An object moving in a circle is accelerating. Accelerating objects are objects which are changing their velocity - either the speed (i.e., magnitude of the velocity vector) or the direction. An object undergoing uniform circular motion is moving with a constant speed. Nonetheless, it is accelerating due to its change in direction.