As we know gravitational force is a central force so due to gravitational effect they must collide with each other but why they revolve?
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Who says they "must". Newton became famous for explaining how the central force of gravity causes Keplerian orbits. – John Alexiou Feb 05 '17 at 17:52
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The incidence of falling apple inspired Newton to unify the of gravity on earth and the gravity in space. Both an apple and the moon "falling" to Earth by the same kind of force. The moon has large enough "horizontal" velocity to prevent it from "crashing" the earth but changes its direction all the time.
Ng Chung Tak
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3It's generally frowned upon to provide answers to questions which are this obviously duplicates of previous questions. – Emilio Pisanty Feb 05 '17 at 17:54
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In reality, the moon's orbit is elliptic (to certain extend), so the moon sometimes moving up and sometimes moving down unless at the asides. For perfect circular orbit, the gravity is merely providing the centrepetal force, that'll be no radial component of velocity. – Ng Chung Tak Feb 05 '17 at 18:08