Disclosed is an apparatus and a method for opening a cover of a mobile phone, by which the cover of the mobile phone is easily opened, thereby providing convenience for the users of the mobile phone. The apparatus has an operation assembly 150 directly inserted in a pivoting section 4 of a cover 2 of a mobile phone 100, and a button 5 disposed at a predetermined portion of a phone body 1. The operation assembly 150 may be contained in a housing 13, which is inserted in the pivoting section 4. When a user pushes the button 5, the operation assembly 150 releases a compression force and a torsion force applied to a torsion-compression spring. Then, the force of restitution of the spring generates a pivotal movement of the cover 2 by a torsional operation, thereby opening the cover 2.