This paper presents Charge-Coupled Device time-series photometric observations of the open cluster NGC 1582 and its surrounding field with Johnson B,V and R filters by using the Nanshan 1 m telescope administered by Xinjiang Astronomical Observatory.19 variable stars and three variable candidates were detected in a 45′×48.75′ field around the cluster.12 of the variable stars are newly-discovered variable objects.The physical properties,classifications and memberships of these 22 objects are studied through their light curves,their positions on the color-magnitude diagram and with archival data from the Naval Observatory Merged Astrometric Dataset.Among these objects,five are eclipsing binary systems,six are pulsating variable stars including one known S Scuti star and one newly-discovered RR Lyrae star.The distance to the RR Lyrae star is estimated to be 7.9 ± 0.3 kpc,indicating that the star is located far behind the cluster.Four variable stars are probable members of the cluster,and 13 of the 22 objects are confirmed to be field stars.