Constant phase front with random fluctuation caused by turbulence will make wavefront angle of arrival change continuous in atmosphere channel. New plane and spherical waves angle of arrival models under non-Kolmogorov turbulence in slant atmosphere turbulent channel are investigated, which featured the small rise at high wave numbers near 1/l0. Turbulence inner and outer scales has different effects on the angle of arrival in different slant link: the downlink angle of arrival fluctuation is smaller than the uplink, the angle of arrival fluctuation increases with the increase of the inner and outer scales, and it is significantly reduced with the increase of the diameter of the receiver aperture. The result will provide reference for related applications such as satellite laser communication.