  In this paper we study (3+1) dimensional holographic superconductors in
quasi-topological gravity which is recently proposed by R. Myers {\it et.al.}.
Through both analytical and numerical analysis, we find in general the
condensation becomes harder with the increase of coupling parameters of higher
curvature terms. In particular, comparing with those in ordinary Gauss-Bonnet
gravity, we find that positive cubic corrections in quasi-topological gravity
suppress the condensation while negative cubic terms make it easier. We also
calculate the conductivity numerically for various coupling parameters. It
turns out that the universal relation of $\omega_g/T_c\simeq 8$ is unstable and
this ratio becomes larger with the increase of the coupling parameters. A brief
discussion on the condensation from the CFT side is also presented.
