We propose and implement a free-space optical (FSO) communication system based on few-mode heterodyne detection that can effectively suppress atmospheric turbulence effects. The experimental results show that the received power gain of the FSO communication system using six-mode fibres is about 6 dB over that using SMF under moderate to strong turbulence conditions.In addition, we have built a coherent detection system for space laser communications with few-mode heterodyne detection and reception, and verified the compensation of atmospheric turbulence effects by the few-mode heterodyne detection and reception technique. Experimental results show that the proposed scheme improves the power budget by 4∼5dB over the single-mode heterodyne coherent reception scheme at BER = 3.8×10-3 under moderate to strong turbulence conditions.