A Ni-based single crystal super alloy capable of improving strength by preventing precipitation of a TCP phase at high temperatures may be obtained by a Ni-based single crystal super alloy having a composition consisting of 5.0-7.0 wt % Al, 4.0-8.0 wt % Ta, 2.9-4.5 wt % Mo, 4.0-8.0 wt % W, 3.0-6.0 wt % Re, 0.01-0.50 wt % Hf, 2.0-5.0 wt % Cr, 0.1-15.0 wt % Co and 1.0-4.0 wt % Ru in terms of its weight ratio, with the remainder consisting of Ni and unavoidable impurities. Preferably, the composition of Co in the Ni-based single crystal super alloy is limited to 0.1-9.5 wt %.