A radiator support structure includes: a first attachment member that is fixed to a vehicle body, and that supports a radiator body; and a second attachment member that (i) is separate from and unattached to the first attachment member, (ii) is attached to a front side member of the vehicle body through a shock absorbing member that is fixed to a vehicle front-rear direction front end of the front side member, and (iii) supports the radiator body. At least one of the first attachment member and the second attachment member is configured to detach from the radiator body when a collision force in the vehicle front-rear direction is applied to the second attachment member.