A suspension device for a saddle-ride-type vehicle comprising: a vehicle body frame having: a down frame extending downwardly from a head pipe; a lower frame extending rearwardly from a lower end of the down frame; and a rear frame extending upwardly and rearwardly from a rear end of the lower frame; a unit-swing-type engine which imparts a drive force to a rear wheel; and a link mechanism for mounting the unit-swing-type engine on the vehicle body frame in a suspending manner, wherein the link mechanism includes: a first link member having a first link upper end portion thereof rotatably supported on the vehicle body frame; a second link member having a second link front end portion thereof rotatably supported on a first link lower end portion of the first link member; and a third link member having a third link lower end portion thereof rotatably supported on a second link rear end portion of the second link member, a pivot portion of the unit-swing-type engine is supported on the second link rear end portion, a third link upper end portion of the third link member and a third link intermediate portion disposed between the third link upper end portion and the third link lower end portion are supported on the vehicle body frame, the third link intermediate portion is formed in a frontwardly projecting manner, and an intermediate portion support shaft which supports the third link intermediate portion is arranged in front of a common tangent which is in contact with an outer periphery of an upper end support portion of the third link upper end portion and an outer periphery of a lower end support portion of the third link lower end portion on a front side in the longitudinal direction of the vehicle body. a vehicle body frame having: a down frame extending downwardly from a head pipe; a lower frame extending rearwardly from a lower end of the down frame; and a rear frame extending upwardly and rearwardly from a rear end of the lower frame; a down frame extending downwardly from a head pipe; a lower frame extending rearwardly from a lower end of the down frame; and a rear frame extending upwardly and rearwardly from a rear end of the lower frame; a unit-swing-type engine which imparts a drive force to a rear wheel; and a link mechanism for mounting the unit-swing-type engine on the vehicle body frame in a suspending manner, wherein the link mechanism includes: a first link member having a first link upper end portion thereof rotatably supported on the vehicle body frame; a second link member having a second link front end portion thereof rotatably supported on a first link lower end portion of the first link member; and a third link member having a third link lower end portion thereof rotatably supported on a second link rear end portion of the second link member, a first link member having a first link upper end portion thereof rotatably supported on the vehicle body frame; a second link member having a second link front end portion thereof rotatably supported on a first link lower end portion of the first link member; and a third link member having a third link lower end portion thereof rotatably supported on a second link rear end portion of the second link member, a pivot portion of the unit-swing-type engine is supported on the second link rear end portion, a third link upper end portion of the third link member and a third link intermediate portion disposed between the third link upper end portion and the third link lower end portion are supported on the vehicle body frame, the third link intermediate portion is formed in a frontwardly projecting manner, and an intermediate portion support shaft which supports the third link intermediate portion is arranged in front of a common tangent which is in contact with an outer periphery of an upper end support portion of the third link upper end portion and an outer periphery of a lower end support portion of the third link lower end portion on a front side in the longitudinal direction of the vehicle body.