We present the first high resolution X-ray image of the dwarf elliptical galaxy NGC 3226 . The data were obtained during an observation of the nearby Seyfert Galaxy NGC 3227 using the Chandra X-ray Observatory . We detect a point X-ray source spatially consistent with the optical nucleus of NGC 3226 and a recently-detected , compact , flat-spectrum , radio source . The X-ray spectrum can be measured up to \sim 10 keV and is consistent with a power law with a photon index 1.7 \lesssim \Gamma \lesssim 2.2 , or thermal bremmstrahlung emission with 4 \lesssim kT \lesssim 10 keV . In both cases the luminosity in the 2–10 keV band \simeq 10 ^ { 40 } h _ { 75 } ^ { -1 } { erg s ^ { -1 } } . We find marginal evidence that the nucleus varies within the observation . These characteristics support evidence from other wavebands that NGC 3226 harbors a low-luminosity , active nucleus . We also comment on two previously-unknown , fainter X-ray sources \lesssim 15 arcsec from the nucleus of NGC 3226 . Their proximity to the nucleus ( with projected distances \lesssim 1.3 h _ { 75 } ^ { -1 } kpc ) suggests both are within NGC 3226 , and thus have luminosities ( \sim few \times 10 ^ { 38 } –few \times 10 ^ { 39 } { erg s ^ { -1 } } ) consistent with black-hole binary systems .