Construction machine, with working drum mounted at a machine frame, combustion engine for driving the working drum, drive train between the combustion engine and the working drum, and clutch in the drive train, where the clutch is arranged between a drive shaft and output shaft of the drive train, clutch elements on drive side capable of being engaged with clutch elements on output side, where clutch elements on the drive side or on output side are provided with several clutch part elements that are permanently engaged with one another via at least one mechanical coupling, it is provided that a braking device acting between the drive shaft and the output shaft is arranged at the clutch, said braking device being additionally engaged during engagement of the clutch in order to eliminate or reduce any rotary vibrations caused by play of mechanical coupling between clutch part elements.