A vibration absorbing mounting device may include an outer housing, a mounting shaft, a core, a first nozzle valve spaced apart from and disposed below the core, an inner housing spaced apart from one side and the other side of the core, with the first nozzle valve being mounted to the inner housing, and a chamber separator fixed to the core and brought into close contact with and sliding on the first nozzle valve, wherein the chamber separator forms a first chamber and a second chamber, and an elastic member formed between the core and the inner housing and between the inner housing and the outer housing, wherein fluid is filled in the first chamber and the second chamber, and a first nozzle fluidly-connecting the first and second chambers is formed in the first nozzle valve.