Is dihydrogen monosulfide polar

The shape of H2S is bent similar to water, which is very polar. However sulfur is less electronegative than oxygen. In fact the difference in electronegativity between H and S is less than 0.4 (S = 2.58 and H = 2.20). This means that a S-H bond is technically defined as a non-polar bond.

Because of the two lone pairs of electrons on sulfur, H2S does have a measurable dipole moment.

So dihydrogen monosulfide is best described as slightly polar, due to the combination of shape and "slightly polar" bonds. Due to the fact that H2S is a borderline case, you will often see it listed with both polar and non-polar molecules.