The invention discloses an electric bicycle with wheels having tires in different structures. The electric bicycle mainly comprises a rear wheel with a non-pneumatic tire, a front wheel with a pneumatic tire and a frame with a rear shock absorber. The front pneumatic tire is a pneumatic tire of a traditional electric bicycle, the rear tire is an integrally injection molded polyurethane solid non-pneumatic tire, and vibration of the rear wheel is reduced by the frame with the rear shock absorber. The integral-rim injection molded polyurethane non-pneumatic tire of the rear wheel is high in strength and elasticity, and accordingly riding the electric bicycle with the non-pneumatic rear tire saves more labor than riding an electric bicycle with a pneumatic rear tire; due to adoption of the pneumatic tire for the front wheel, balance maintaining and skidding prevention, which are realized by a traditional electric bicycle, of the whole electric bicycle can be achieved under various conditions including sandy and rainy road surfaces, and the defect of proneness to skidding of the non-pneumatic polyurethane tire is overcome.