The method of combined multiple phase screens and split-step Fourier to simulate the drift behavior of circular-Airy beams in atomspheric turbulence is proposed. The propagation of circular-Airy beams in turbulence is simulated theoretically and experimentally. Through comparing the drift behavior of Airy beams with related Gaussian beam, it is found that the drift distances of circular-Airy beams are less than that of reference beams. Therefore, employing the circular-Airy beams as information carrier has potential application for long-distance transmission.