We solve the Schrodinger wave equation for the generalized Morse and cusp molecular potential models. In the limit of high temperature we, first, need to calculate the canonical partition function which is basically used to study the behavior of the thermodynamic functions. Based on this, we further calculate the thermodynamic quantities, such as the free energy, the entropy, the mean energy and the specific heat. Their behavior with the temperature has been investigated. In addition, the susceptibility for two level systems is also found by applying the incident time-dependent field.