We compute the surface defect contribution to Rényi entropy and supersymmetric Rényi entropy in six dimensions. We first compute the surface defect contribution to Rényi entropy for free fields, which verifies a previous formula about entanglement entropy with surface defect. Using conformal map to \( {S}_{\beta}^1\times {H}^{d-1} \) we develop a heat kernel approach to compute the defect contribution to Rényi entropy, which is applicable for p-dimensional defect in general d-dimensional free fields. Using the same geometry \( {S}_{\beta}^1\times {H}^5 \) with an additional background field, one can construct the supersymmetric refinement of the ordinary Rényi entropy for six-dimensional (2, 0) theories. We find that the surface defect contribution to supersymmetric Rényi entropy has a simple scaling as polynomial of Rényi index in the large N limit. We also discuss how to connect the free field results and large N results.
