CFETR (China Fusion Engineering Test Reactor) is a test reactor which shall be constructed by National Integration Design Group for Magnetic Confinement Fusion Reactor of China. The Reactor has the equivalent scale compared with ITER, but has the complementary function to ITER. CFETR is a demonstration of long pulse or steady-state operation with duty cycle time not less than 0.3~0.5 and the full cycle of tritium self-sustained with TBR not less than 1.2. The magnets design of CFETR is based on the ITER magnet technology. This paper describes a conceptual design and analysis of the CFETR magnets. The constant tension toroidal field coil and three different magnetic equilibrium shapes are present in this paper.