The invention belongs to the vibration isolating technology field and discloses a general elasticity and vibration isolating apparatus for sensor suspension measurement and design method thereof. The apparatus comprises a base, a trapezoidal support fixedly arranged on the base, a sensor, and rubber elastic elements connecting the sensor with the trapezoidal support. There are four such rubber elastic elements which let the four angle points of the trapezoidal support be connected with the sensor. The design method is based on the natural frequency of the vibration isolating apparatus, and optimizes design parameters including the stiffness, suspension length, elongation and suspension structure of the rubber elastic elements so as to provide the maximum vibration attenuation effect for the measurement sensor.