Taking square rock block of red sandstone as research object, we studied all of progressive properties, process and model of destruction of red sandstone under restrictive shear and restrictive shear creep with a self-designed shear creep experimental device of coal or weak rock, a monitor software of coal or rock micromechanics properties and ultrasonic test equipment. The results show that apparent progressive property of red sandstone samples is shown under condition of restrictive shear and restrictive shear creep. The decrease extent of ultrasonic wave velocity in red sandstone samples is samller than those in most of the testing process, and the significantly decrease extent is only shown near the destruction of the sample. The destruction process contains four stages:key fracture plane forms firstly, then abundant secondary micro-fractures forms, and these secondary micro-fractures develope and interconnect, and finally the friction on shear plane is overcome and burst destruction occurs and the main large crack appears in beneath of samples. The development process of destruction is progressive, and the destruction model is burst. A constitutive model that can be used to express the properties of progressive destruction of red sandstone is proposed.