A frame for bicycle includes a front frame, a rear frame, a shock absorber and an upper linkage. The upper linkage is pivoted to the front frame at a first axis, pivoted to the rear frame at a second axis, and pivoted to the shock absorber at a third axis. The rear frame has a pair of chain stays and a connection part, the connection part has a pair of side portions and a bridge portion, the pair of side portions are connected to the pair of chain stays respectively, the bridge portion connects the pair of side portions, and the rear frame is pivoted to the front frame at a fourth axis through the pair of side portions or through the pair of chain stays.