This project is aimed at finding Cepheids and short as well as long period variable stars in M31 galaxy by studying their photometric characteristics. The data for the present study was obtained from 1.04m Telescope at Manora Peak, Nainital. In this project, initially stars were categorised as pulsating or non-pulsating and their corresponding period is found out by plotting a Periodogram of Power density Vs Frequency using Lomb-Scargle method. Stars with period between 2-100 days were studied for characteristic matching of Cepheids. For this, Period-Luminosity plots for possible Cepheid candidates are made. Then those candidates are plotted on Colour-Magnitude Diagram (CMD) to check whether they lie within Cepheid instability strip within the photometric uncertaintyIn the present analysis, I found one population I Cepheid and one population II Cepheid along with 11 long period and 3 short period variable stars.