Abstract: The exact expression for reflection coefficient has been obtained with the Thomson-Haskell technique for the bottom model consisting of an elastic homogeneous layer overlying elastic half-space. The behaviour of the frequency-angular dependence for exact values of the reflection coefficient was studied. Inspection of exact expression for reflection coefficient shows that resonance behaviour will exhibit when the real part of denominator vanishes. The characteristic equations were obtained and roots of equations were found. Resonance positions for compressional and shear wave velocities were determined. Frequency-angular resonance positions were obtained both using resonance theory and exact computations. Comparison of obtained resonance positions was performed. The changes in the position for the resonance peaks for frequency- angular resonances as a function of the bottom model parameters were analysed. This work was supported by the Russian Foundation for Basic Research (No.97-05-647I2).