Abstract: The disclosure provides a vibration isolation structure for linear oscillating motor and Stirling engine, wherein the said vibration isolation structure comprises a first vibration isolation device and a second vibration isolation device. The first vibration isolation device is set between the fixed hood and the housing of the linear oscillating motor to attenuate the high-frequency and small-amplitude vibrations from the linear oscillating motor. The first vibration isolation device comprises a first set of tension springs and a second set of tension springs, and a lateral gap is formed between the fixed hood and the linear oscillating motor. The second vibration isolation device is set in the said lateral gap to attenuate the low-frequency and large-amplitude vibrations from the linear oscillating motor.