The invention provides a continuous workpiece drilling/tapping apparatus, comprising a worktable, a clamping mechanism, a drilling mechanism, and a tapping mechanism; the clamping mechanism comprises a first driving mechanism, and a first rotating disc, and the first driving mechanism is used for driving the first rotating disc to rotate; n clamping grooves for clamping workpieces are formed at the outer edge of the first rotating disc; the drilling mechanism, and the tapping mechanism are arranged symmetrically about the first rotating disc; the drilling mechanism comprises a second driving mechanism, and a drilling assembly; the second driving mechanism is used for driving the drilling assembly to move radially along the first rotating disc; the drilling assembly comprises a drill, and a third driving mechanism for driving the drill to rotate; the tapping mechanism comprises a fourth driving mechanism, and a tapping assembly; the fourth driving mechanism is used for driving the tapping assembly to move radially along the first rotating disc; the tapping assembly comprises a tapping screw tap, and a fifth driving mechanism for driving the tapping screw tap to rotate. The continuous workpiece drilling/tapping apparatus is capable of performing continuous drilling and tapping on workpieces, and is high in working efficiency, and high in machining precision.