A detailed study of roatation curve of triangulum galaxy(M33) has been done using new quantum gravity theory.The new quantum gravity theory is based on baryonic matter only. This new theory is not based on the dark matter. Hence the existence of dark matter is rejected. The new theory is different from Newton’s gravitational theory or any other gravitational theory postulated at present. The new theory is non-relativistic theory in which space and time are constant and not related to each other. This theory is a quantum gravity theory in which gravity is made up of small quantas.It is observed that the theoretical rotational velocities curve form a cusp at the radius of 20 kly. This is a dominant and most important aspect of new quantum gravitational theory. The halo cusp problem cannot be solved by dark matter hypothesis. Inability to solve halo cusp problem is main drawback of dark matter hypothesis. This new quantum gravitational theory solves the halo cusp problem of rotation curve of galaxy.