Abstract: Some theorems of compactly supported non-tensor product form two-dimension} Daubechies wavelet were analysed carefully. Compactly supported non-tensor product form two-dimension wavelet was constructed, then non-tensor product form two dimension wavelet finite element was used to solve the deflection problem of elastic thin plate. The error order was researched. A numerical example was given at last.

Key words: compactly supported, non-tensor product, two-dimension wavelet, interpolation function, elastic thin plate, deflection, finite element