A continuous punching device for linear pipes comprises a base, punching mechanisms, a sliding base, a transverse moving mechanism, clamping mechanisms and a control device, wherein the punching mechanisms are arranged on the base; the sliding base is arranged on the base in a horizontal moving mode in the transverse direction; the transverse moving mechanism drives the sliding base to move in the transverse direction; each clamping mechanism is arranged on the sliding base and used for clamping one end of one linear pipe; the control device is respectively connected with the punching mechanisms and the transverse moving mechanism; each punching mechanism comprises a die holder, a core die and a stamping mechanism; the die holders are arranged on the base, a through hole extending in the transverse direction and allowing one linear pipe to stretch in is formed in the side face of each die holder, a first punched hole communicated with the corresponding through hole is formed in the top face of each die holder, and a discharge hole communicated with the corresponding through hole is formed in the bottom face of each die holder; each core die is arranged in the through hole of the corresponding die holder through a die rod which extends in the transverse direction, and a second punched hole opposite to the first punched hole is formed in each core die; each stamping mechanism comprises a punch which can move up and down relative to the corresponding first punched hole and the corresponding second punched hole and a driving part which can drive the punch to move up and down. The continuous punching device has the advantages of being simple in structure, convenient to operate, high in punching efficiency and the like.