Provided is a structure whereby parts are supported at the rear of a two-wheeled motor vehicle, the structure being configured in such a manner that an operating unit is mounted and arranged on a step stay so as to enable the extremely easy operation of the operating unit and in such a manner that the step stay is capable of being effectively utilized to support other rear parts. A structure whereby parts are supported at the rear of a two-wheeled motor vehicle is provided with: a step stay (30) which is mounted to a vehicle frame (FR) and which supports a foot step (29) for a co-rider; an operating unit (25) which is mounted to the unit support section (38) of the step stay (30) and with which the characteristics of a rear suspension device (24) are manually adjusted; a pannier support section (41) which is provided to the step stay (30) and which supports the front section of an article storing pannier (3) mounted at a side of the vehicle; and a tank support section (42) which supports a brake oil reservoir tank (4). The pannier (3) is disposed behind the operating unit (25), and the operating section (55) of the operating unit (25) is disposed at a position at which the operating section (55) does not overlap the step stay (30) and the pannier (3) when viewed from an outer side.