The invention belongs to the technical field of underground engineering rock and soil body drilling, cutting and underground engineering disaster prevention and reduction, and provides a flank-vertical combined multi-dimensional freezing drilling and cutting device for soft and hard strata. A flank-vertical combined drilling and cutting mode is adopted, a stretchable arm is controlled to drive a high-strength drilling and cutting head to longitudinally drill and cut into a stratum until the longitudinal drilling and cutting is completed; a threaded drilling and cutting head and a pentagonal drilling and cutting head are respectively controlled to rotate to drill and cut the stratum through a drilling and cutting head control door; a core drilling and cutting head is driven to rotate to drill and cut into the stratum through an embedded type sliding connection between the outer side of a central rotary shaft and a high-strength hollow central framework, so that a multi-angle multi-toolcomposite drilling and cutting of the hard and soft strata is realized, the problem that holes are easy to deflect in the uneven hard and soft strata such as rock and soft soil during deep hole drilling and cutting construction is avoided, and the construction cost is saved; and in addition, a multi-dimensional multi-region freezing method is adopted in the uneven hard and soft strata with abundant water, so that 360-degree omnidirectional freezing in the longitudinal direction and the vertical direction of the deep hole drilling and cutting construction is realized, no collapse is ensured inthe deep hole drilling and cutting, the construction quality is reliable, and the construction safety is guaranteed.