A structure of an engine mount is provided for a vehicle in which an engine is disposed in the front of the vehicle, a front wheel is driven, and the engine is integrally coupled with a transmission to be seated horizontally on a vehicle body in a transverse mounting direction. The structure may include a driveshaft coupled to receive the driving force of the engine through the transmission and penetrate a center bearing through a bearing bracket fixed to the engine, a subframe as a plate shape coupled to the vehicle body in a rear lower part of the engine and coupled to a lower part of the transmission through a main roll rod mounted on the front, and a sub-roll rod having one end connected to the subframe and the other end connected to the bearing bracket.