Seismic site response analysis is of paramount importance for many problems in earthquake engineering and has been studied extensively over the last 50 years. More recently, the observed response of deep stiff soil profiles during seismic events has indicated the possibility of significant ground amplification. In this study, a new enhanced hysteretic constitutive model is used for the evaluation of dynamic site response of deep granular soil deposits. The constitutive laws are implemented in a finite element computer code, AMPLE2000. The response of two soil profiles to different earthquake records was calculated using the newly developed model implemented in AMPLE and the computer program, SHAKE, which employs the equivalent linear procedure. The importance of soil nonlinearity with increasing levels of shaking and deposit depth on the acceleration at the ground surface is examined