This paper deals with the basic principles of the vibration and shock isolation in accordance with the basic theory. Three aspects are considered here: 1. The isolation theory of such periodic vibrations as: 1) Single-degree-of-freedom system; 2) Uncoupled two-degree-of-freedom system; 3) Coupled two-degree-of-freedom system; 4) Multi-degree-of-freedom system; 5) High frequency excitation system; 6) Non-rigid structure system. 2. Theory of random vibration isolation. 3. Theory of shock isolation. The theory involved here has been partly proved by the vibration test of multi-degree-of-freedom system. In the last part of the paper

are discussed the principles for selection and design of the shock and vibration isolators.