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Strain mode is sensitivity to structure local characteristics and wavelet transform has high local property in time and frequency domain. By combining the character of strain mode and wavelet transform, strain mode is adopted as response signal to continuous wavelet analysis for damage identification. Damage location is detected by modulus maximum and damage extent is detected by Lipschitz exponent of wavelet transform. The influence of multi-damage to Lipschitz exponent is also studied. Theory analysis and numerical simulation show the method of damage identification based wavelet transform can exactly detect the location and extent, and with the crack damage extent increase, the Lipschitz exponent decrease for single damage and multi-damage. The identification results indicate the proposed method is precision and facility which supply theory basis for engineering practices.