The invention discloses a rotatable tamping machine for pavement construction. The tamping machine comprises a bottom plate, wherein driving wheels are arranged at the lower side of the bottom plate,an electric cabinet is arranged at the left end of the upper side of the bottom plate, support seats are arranged at the upper side of the bottom plate, a connecting cylinder is arranged at the uppersides of the support seats, a fixed plate is arranged at the left end of the upper side of the connecting cylinder, a connecting plate is arranged at the upper end of the left side of the fixed plate,a first motor is arranged at the upper side of the connecting plate, a first rotating shaft is arranged at the lower side of the first motor, a rotating disk is arranged at the outer side of the lower side of the first rotating shaft, a first connecting rod is arranged at the left end of the lower side of the first rotating shaft, a first connecting sleeve is arranged at the outer side of the first connecting rod, a second connecting rod is arranged at the right side of the first connecting sleeve, a third connecting rod is arranged at the right side of the second connecting rod, a sliding cylinder is arranged at the right side of the third connecting rod, a fourth connecting rod is arranged at the right side of the sliding cylinder, a tamping hammer is arranged at the right side of the fourth connecting rod, fifth connecting rods are arranged at front and rear sides of the connecting cylinder, and a telescopic rod is arranged at the lower side of the outer end of each fifth connecting rod. The rotatable tamping machine for pavement construction can rotate through the connecting cylinder, thereby being convenient for the equipment to tamp and move effectively.