A variable valve lift apparatus that changes a lift of a valve in an engine, comprising: an outer body selectively making a lever motion according to rotation of a cam and forming a first space; an inner body disposed in the first space, adapted such that a first end thereof is rotatably connected with a first end of the outer body, and forming a second space; a cam contact portion disposed in the second space, rotatably connected to the inner body, and contacting the cam so that the inner body makes a lever motion according to rotation of the cam; a connecting shaft disposed to penetrate the first end of the outer body and the first end of the inner body and connect the outer body with the inner body; and a lost motion spring adapted such that a first end thereof is fixed to the outer body and a second end thereof is fixed to the inner body, wherein the inner body is selectively fixed to the outer body to make a lever motion together with the outer body around a rotation axis of the outer body lever motion or is selectively released from fixing with the outer body to make a lever motion around the connecting shaft, and wherein both ends of the connecting shaft protrude to both sides in the width direction of the outer body and a valve contact portion which contacts a valve is formed at the both ends, characterized in that the outer body is formed in a "U" shape as the first space is opened toward the first end of the outer body, in that a pinhole is respectively formed at both ends of the opened first end such that a fixing pin is insertable therein to prevent motion in an axial direction of the connecting shaft, and in that the variable valve lift apparatus further comprises fixing pins inserted into the pinholes, respectively. an outer body selectively making a lever motion according to rotation of a cam and forming a first space; an inner body disposed in the first space, adapted such that a first end thereof is rotatably connected with a first end of the outer body, and forming a second space; a cam contact portion disposed in the second space, rotatably connected to the inner body, and contacting the cam so that the inner body makes a lever motion according to rotation of the cam; a connecting shaft disposed to penetrate the first end of the outer body and the first end of the inner body and connect the outer body with the inner body; and a lost motion spring adapted such that a first end thereof is fixed to the outer body and a second end thereof is fixed to the inner body, wherein the inner body is selectively fixed to the outer body to make a lever motion together with the outer body around a rotation axis of the outer body lever motion or is selectively released from fixing with the outer body to make a lever motion around the connecting shaft, and wherein both ends of the connecting shaft protrude to both sides in the width direction of the outer body and a valve contact portion which contacts a valve is formed at the both ends, characterized in that the outer body is formed in a "U" shape as the first space is opened toward the first end of the outer body, in that a pinhole is respectively formed at both ends of the opened first end such that a fixing pin is insertable therein to prevent motion in an axial direction of the connecting shaft, and in that the variable valve lift apparatus further comprises fixing pins inserted into the pinholes, respectively.