We report the discovery of 6 SX Phoenicis stars in the southern globular cluster NGC 4833 . Images were obtained from January through June 2011 with the Southeastern Association for Research in Astronomy 0.6 meter telescope located at Cerro Tololo Interamerican Observatory . The image subtraction method of Alard & Lupton ( 1998 ) was used to search for variable stars in the cluster . We confirmed 17 previously cataloged variables by Demers & Wehlau ( 1977 ) . In addition to the previously known variables we have identified 10 new variables . Of the total number of confirmed variables in our 10 \times 10 arcmin ^ { 2 } field , we classified 10 RRab variables , with a mean period of 0.69591 days , 7 RRc , with a mean period of 0.39555 days , 2 possible RRe variables with a mean period of 0.30950 days , a W Ursae Majoris contact binary , an Algol-type binary , and the 6 SX Phoenicis stars with a mean period of 0.05847 days . The periods , relative numbers of RRab and RRc variables , and Bailey diagram are indicative of the cluster being of the Oosterhoff type II . We present the phased-light curves , periods of previously known variables and the periods and classifications of the newly discovered variables , and their location on the color-magnitude diagram .