Abstract: The strong ground motion simulation of Kathmandu done through stochastic method .Time History of Gorkha Earthquake 2015 was generated using time domain simulation and compared with recorded time history of Kantipath seismological station. The simulation work stopped once the target and generated spectra matched. The ground motion calculated with consideration of source, site, and path with amplification effect of soil. Then after time domain simulation carried out. The simulation work started from noise generation work with windowing, Fast Fourier Transform (FFT) and Spectra matching (Target and Generated) to obtain Simulated Time History. The simulation work carried out using MATLAB programming language. The Simulated and Measured Time History changed in form of response spectra in the program to compare the result. The parameter of stochastic method for Kathmandu defined after the comparison of simulated time history to the Kantipath station of Kathmandu.