PURPOSE: A vibration proof structure of a fuel pump is provided to effectively damp vibration of a fuel pump module when operating the fuel pump. CONSTITUTION: A vibration isolation structure of a fuel pump includes a vibration proof member(130) and a compression damping unit(300). The vibration proof member is engaged with a bottom plane of a reserve cup(120) through an engagement unit(200). The compression damping unit damps compression due to a load of the reserve cup and a plate assembly.