Non-local transport phenomena induced by supersonic molecular beam injection (SMBI) have been observed for the first time in the HL-2A tokamak in low density discharges. For low densities (less than 2.0 × 1019 m−3), besides the similarities with the phenomena induced by other methods in various tokamaks, the results on HL-2A show some experimental progress in this effect: the duration of the core Te rise induced by SMBI in HL-2A could be prolonged by changing the conditions of SMBI; both the bolometer radiation and the Hα emission decrease when the non-local effect appears in low density. A repetitive non-local effect can be induced by periodical SMBs. Experimental and calculation results suggest that an electron transport barrier is formed at the position outside the q = 1 surface when the non-local phenomena appear.