The invention relates to a hoisting derrick specially for coiled tubing equipment. The hoisting derrick comprises a derrick transportation supporting platform, a derrick swinging base, a derrick telescopic boom, a first telescoping cylinder and second telescoping cylinders, which are connected with one another through rotation and articulation; the hoisting derrick is characterized by also comprising an injection head mounting platform, wherein lever arms are arranged on the injection head mounting platform, one ends of the level arms are fixedly connected with the injection head mounting platform, the other ends of the level arms are articulated with the plunger piston ends of the second telescoping cylinders, the cylinder body ends of the second telescoping cylinders are articulated with the derrick telescopic boom, and the level arms and the second telescoping cylinders are arranged in pairs and are arranged on two sides of the derrick telescopic boom respectively. The hoisting derrick has the beneficial effects that the injection head and an oil well can be centered rapidly, the labor intensity of workers is reduced and the mounting cost is reduced.