A color image encryption method based on quantum computing is proposed. Firstly, the color image is encoded in quantum superposition ∣Image?. Each pixel is described by three quantum bits ∣???, ∣???, ∣??? which represent the red, green and blue colors. And then, all qubits are randomly rotated on the Bloch sphere. The quantum fourier transform(QFT) is performed on the ∣Image?. Once again, all qubits are randomly rotated on the Bloch sphere and the inverse QFT is performed on the ∣Image?, and the encryption process is implemented. The simulation results on the classic computer show that the method has better security, and can be run on quantum computers in the future.