A leaning vehicle that is configured to lean leftward when turning to the left and to lean rightward when turning to the right, the leaning vehicle comprising: a vehicle body; a plurality of wheels (3, 4) including a front wheel and a rear wheel; a driving source configured to supply a driving force to at least one of the front wheel or the rear wheel; a gear-type multi-stage automatic transmission (12, 312) including a plurality of gear stages and a clutch (40, 340, 360), and configured to change the driving force to be transferred from the driving source to at least one of the front wheel or the rear wheel by automatically changing the plurality of the gear stages stepwise; and a gear-shift controller (7, 307) configured to control changing of the plurality of the gear stages in the multi-stage automatic transmission (12, 312), wherein the gear-shift controller (7, 307) is configured to inhibit changing of the plurality of the gear stages in the multi-stage automatic transmission (12, 312) or suppress a change of the driving force by changing the plurality of the gear stages, based on a physical quantity associated with a radius of turn of a corner that the leaning vehicle turns in a lean state, while the leaning vehicle turns in the lean state, wherein the lean state is a state in which the leaning vehicle leans leftward or rightward with a rotation axis as a center relative to a vertical line of a road surface, wherein the physical quantity associated with the radius of turn includes at least one of a vehicle speed and a physical quantity associated with a lean angle of the leaning vehicle, the vehicle speed and a yaw rate of the leaning vehicle, or a radius of curvature of a corner that the leaning vehicle turns in the lean state, in a state where the leaning vehicle turns in the lean state, wherein the lean angle is an angle between the road surface and an up- down direction reference line of the leaning vehicle, and wherein the yaw rate is a rate of change in a yaw angle of the leaning vehicle when the leaning vehicle turns in the lean state. a vehicle body; a plurality of wheels (3, 4) including a front wheel and a rear wheel; a driving source configured to supply a driving force to at least one of the front wheel or the rear wheel; a gear-type multi-stage automatic transmission (12, 312) including a plurality of gear stages and a clutch (40, 340, 360), and configured to change the driving force to be transferred from the driving source to at least one of the front wheel or the rear wheel by automatically changing the plurality of the gear stages stepwise; and a gear-shift controller (7, 307) configured to control changing of the plurality of the gear stages in the multi-stage automatic transmission (12, 312), wherein the gear-shift controller (7, 307) is configured to inhibit changing of the plurality of the gear stages in the multi-stage automatic transmission (12, 312) or suppress a change of the driving force by changing the plurality of the gear stages, based on a physical quantity associated with a radius of turn of a corner that the leaning vehicle turns in a lean state, while the leaning vehicle turns in the lean state, wherein the lean state is a state in which the leaning vehicle leans leftward or rightward with a rotation axis as a center relative to a vertical line of a road surface, wherein the physical quantity associated with the radius of turn includes at least one of a vehicle speed and a physical quantity associated with a lean angle of the leaning vehicle, the vehicle speed and a yaw rate of the leaning vehicle, or a radius of curvature of a corner that the leaning vehicle turns in the lean state, in a state where the leaning vehicle turns in the lean state, wherein the lean angle is an angle between the road surface and an up- down direction reference line of the leaning vehicle, and wherein the yaw rate is a rate of change in a yaw angle of the leaning vehicle when the leaning vehicle turns in the lean state.