1. Particle travels in straight line and the motion is periodic

2. The acceleration of particle is always proportional to the displacement from the equilibrium position and always point towards a fixed point.

3.  The work of the force is to bring particle in its equilibrium position and generally it is known as restoring force.

4.  In case of simple harmonic motion, the time period is independent of amplitude.

5.  The essential and sufficient condition for a motion to be simple harmonic is that the restoring force must be linear.

6.  Each motion can be resolved into a number of simple harmonic motion with the help of Fourier analysis .i.e. any number of simple harmonic motion can be combined to give the resultant motion.