To easily and precisely analyze a time history response of an object with an attenuation constant h indicating a vibration frequency nondependent characteristic.

An impulse response value of a causal unit imaginary function is computed by expressing an imaginary part of the unit imaginary function with the sum of a component not satisfying a causality law and a component satisfying the causality law, in a time example response analytical method of the object indicating the vibration frequency nondependent characteristic with the attenuation constant h independent on a vibration frequency of external force for vibrating the object. By drawing out a real part forming a Hilbert transformation pair with the component not satisfying the causality law, and a time example response of the object is analyzed using the obtained impulse response value of the causal unit imaginary function.