A topological index is a numeric quantity of a molecule that is mathematically derived in an unambiguous way from the structural graph of a molecule. In this paper, we compute the edge Szeged index, edge-vertex Szeged index, and total Szeged index of nanosheets such as type I and type II C4C8(S) nanosheets, peri-condensed benzenoid nanosheet, and H-naphtalenic nanosheet. In addition, we correct the computational errors occurring on the values of the Wiener and vertex Szeged indices of these nanosheets in the literature. © 2016 Published by NRC Research Press.