The invention belongs to the technical field of fiber lasers, and particularly relates to an incoherent super-continuum spectrum light source with controllable spectrum and tunable output power. The incoherent super-continuum spectrum light source comprises a random pulse fiber laser, a single-mode fiber, a double-clad ytterbium-doped/tapered ytterbium-doped fiber amplifier and a highly-nonlinearintermediate infrared soft glass fiber. The incoherent super-continuum spectrum light source can realize three modes of incoherent super-continuum spectrum output such as a near-infrared band or an intermediate infrared band, a visible light-near infrared band or a near infrared-intermediate infrared band and a visible light-intermediate infrared band through selecting different super-continuum generation modules. In addition, through performing combined control on the length of the single-mode fiber, the output power of a pumping source in the double-clad ytterbium-doped/tapered ytterbium-doped fiber amplifier and the length of the highly-nonlinear intermediate infrared soft glass fiber, the incoherent super-continuum spectrum light source not only can realize control on the output spectrum range and shape, but also can realize tunable output power of the super-continuum spectrum under the condition that the output spectrum range and shape are fixed.