The autoregressive model specifies that the output variable depends linearly on its own previous values and on a stochastic term (an imperfectly predictable term); thus the model is in the form of a stochastic differential equation. The present study was conducted with the main objective to develop a stochastic time series model for prediction of rainfall of Allahabad district, which lies between 250 47’ N latitude, 810 21’E longitude and elevation of 104 m from the mean sea level. | Prediction of rainfall of Allahabad district by the development of autoregressive time series model