In this paper, we consider partial regularity of the Leray–Hopf type weak solutions to the Cauchy problem of the 3d co-rotational Beris–Edwards system for the nematic liquid crystal flows with Landau–De Gennes potential. The system under investigation consists of the Navier–Stokes equations for the velocity u coupled with an evolution equations for the Q-tensor. It is proved that a Leray–Hopf type weak solution (u,Q)∈L∞(0,T;L2(R3;R3))∩L2(0,T;H1(R3;R3))×L∞(0,T;H1(R3;S0(3)))∩L2(0,T;H1(R3;S0(3))), to the 3d co-rotational Beris–Edwards system, is locally bounded if there exists a absolute constant ɛ so that the scaled local Lp(1≤p≤5) norm of (u,∇Q) is less than ɛ. This implies that the one-dimensional parabolic Hausdorff measure for the possible singular point set is zero, which extends the corresponding result of Du et al. (2020) to the Leray–Hopf type weak solution.