We present results from a Chandra observation of Abell 1060 , the nearby isothermal cluster of galaxies . The ACIS-I image shows that the central cusp-like structure , previously seen from PSPC , is caused mainly by an emission from the central elliptical galaxy NGC 3311 . We confirmed that the central region is remarkably isothermal with a temperature of 3.2 keV , based on the spectral fits for fine pixels . An extended region in the northeast of NGC 3311 indicates high iron abundance . The surface brightness profile excluding the central galaxy , NGC 3311 , can be fitted only by a double \beta model , with core radii about 40 and 140 kpc , out to a radius of about 200 kpc . This suggests that the gravitational potential in Abell 1060 consists of 2 components .