A variable valve apparatus for an internal combustion engine that is capable of varying lift amount of an engine valve, the variable valve apparatus comprising: a cam base member provided on a camshaft, the cam base member being configured to rotate in accordance with rotation of the camshaft; a cam lobe member configured to move around a fulcrum member relative to the cam base member, the cam lobe member including a main cam part and a push part, the push part being at a different position than the main cam part, the fulcrum member being provided at any one of two connection parts that connect the main cam part and the push part of the cam lobe member and that are apart in a circumferential direction; an elastic member provided between the cam base member and the cam lobe member; and a fixation mechanism (20, 22, 24; 26) configured to fix the cam lobe member to the cam base member, the cam lobe member being configured such that (a) the cam lobe member is movable relative to the cam base member between a first position and a second position, (b) the push part of the cam lobe member is in a state of protruding relative to the cam base member and the main cam part is in a state of not protruding relative to the cam base member, when the cam lobe member is at the first position, (c) the push part is in a state of not protruding relative to the cam base member and the main cam part is in a state of protruding relative to the cam base member, when the cam lobe member is at the second position, (d) the cam lobe member is configured to move from the first position side toward the second position side, when the cam lobe member is biased toward the first position by the elastic member and the push part is pushed by the engine valve or a follower member linked to the engine valve, and (e) the cam lobe member is configured to be fixed to the cam base member by the fixation mechanism, when the cam lobe member is at the second position, characterized in that the push part of the cam lobe member includes a concave curve part on the circumferential side surface of the cam lobe member on the fulcrum member side, and a convex curve part on the circumferential side surface of the cam lobe member apart from the concave curve part. a cam base member provided on a camshaft, the cam base member being configured to rotate in accordance with rotation of the camshaft; a cam lobe member configured to move around a fulcrum member relative to the cam base member, the cam lobe member including a main cam part and a push part, the push part being at a different position than the main cam part, the fulcrum member being provided at any one of two connection parts that connect the main cam part and the push part of the cam lobe member and that are apart in a circumferential direction; an elastic member provided between the cam base member and the cam lobe member; and a fixation mechanism (20, 22, 24; 26) configured to fix the cam lobe member to the cam base member, the cam lobe member being configured such that (a) the cam lobe member is movable relative to the cam base member between a first position and a second position, (b) the push part of the cam lobe member is in a state of protruding relative to the cam base member and the main cam part is in a state of not protruding relative to the cam base member, when the cam lobe member is at the first position, (c) the push part is in a state of not protruding relative to the cam base member and the main cam part is in a state of protruding relative to the cam base member, when the cam lobe member is at the second position, (d) the cam lobe member is configured to move from the first position side toward the second position side, when the cam lobe member is biased toward the first position by the elastic member and the push part is pushed by the engine valve or a follower member linked to the engine valve, and (e) the cam lobe member is configured to be fixed to the cam base member by the fixation mechanism, when the cam lobe member is at the second position, (a) the cam lobe member is movable relative to the cam base member between a first position and a second position, (b) the push part of the cam lobe member is in a state of protruding relative to the cam base member and the main cam part is in a state of not protruding relative to the cam base member, when the cam lobe member is at the first position, (c) the push part is in a state of not protruding relative to the cam base member and the main cam part is in a state of protruding relative to the cam base member, when the cam lobe member is at the second position, (d) the cam lobe member is configured to move from the first position side toward the second position side, when the cam lobe member is biased toward the first position by the elastic member and the push part is pushed by the engine valve or a follower member linked to the engine valve, and (e) the cam lobe member is configured to be fixed to the cam base member by the fixation mechanism, when the cam lobe member is at the second position, characterized in that the push part of the cam lobe member includes a concave curve part on the circumferential side surface of the cam lobe member on the fulcrum member side, and a convex curve part on the circumferential side surface of the cam lobe member apart from the concave curve part.