The invention discloses a method of roof cutting pressure relief of the narrow coal pillar gob side through static bursting for gob-side entry driving. According to the method, firstly, the drilling position and drilling relevant parameters of the separation distance, the diameter, the angle and the depth are determined; secondly, drilling construction and hole sealing operation are conducted; thirdly, slurry grouting of a static bursting agent is conducted, and roof cutting pressure relief is conducted through static bursting; and fourthly, gob-side entry driving is conducted. According to the method, recovery of an upper section working face and forward groove driving of a lower section working face are conducted simultaneously, and the problem of intense linkage of mine excavation is effectively relieved; and after entry-side roof cutting pressure relief, the stress environment of gob-side entry driving surrounding rock is greatly improved, surrounding rock deformation is greatly reduced in the entry driving process and after entry forming, the engineering quantity of entry supporting is small, and the repair rate is low.