The invention discloses a position adjustable lower die. The position adjustable lower die comprises a bottom plate, a first fixing base, a second fixing base, a die base, a lower die body, a transverse fine adjustment mechanism, a first support, a first micrometer rotary knob, a second support, a longitudinal adjusting screw and a longitudinal adjusting mechanism. During longitudinal adjustment,a limiting head and a clamping head are matched so that the second fixing base can be pulled back or pushed far. After the second fixing base is adjusted to the rough position, the first micrometer rotary knob is manually adjusted, the second fixing base is adjusted to the accurate position, and then an installing bolt of the second fixing base is tightly screwed. During transverse adjustment, a bolt for die base fixation is unscrewed, then, a transverse adjusting screw is unscrewed, a second micrometer rotary knob is manually adjusted, and accordingly the position of the die base can be accurately adjusted. The device is simple in structure, the transverse position and the longitudinal position of the die base fixedly connected with the lower die body can be accurately adjusted, positionprecision is effectively improved, and accordingly punching precision is improved.