A hood hinge structure for hinge connecting together a hinge lower to be fixed to a body and a hinge upper to be fixed to a hood at a hinge axial center, the engine room side of the vehicle body serving as the fixing portion of the hinge lower is formed as a stepped portion which is situated on the lower side, and the fixing portion of the hinge upper is disposed such that it is opposed to the stepped portion. In this structure, even in case where the head of a pedestrian is butted against the hood in the vicinity of the hinge portion due to a collision, the hinge portion is deformed within a relatively long shock-absorbing stroke formed between the hinge portion and stepped portion formed on the engine room side of the vehicle body to thereby be able to absorb the shock sufficiently.