An electrospinning apparatus is described. The electrospinning apparatus has a rotary nozzle mechanism that moves simultaneously along a non-linear track for forming polymeric fibrils, so that the polymeric fibrils can be piled to form a uniform web on a receiving carrier from any receiving angle. Therefore, the electrospinning apparatus resolves problems of the prior polymeric fibrils, such as various distribution and slow production rate. In addition, a method of manufacturing polymeric fibrils in the aforementioned electrospinning apparatus is further described.