We present Chandra , XMM-Newton and RXTE observations of 1WGA J1713.4–3949 , a compact source at the center of the galactic supernova remnant ( SNR ) G347.3–0.5 . The X-ray spectrum of the source is well-fitted by the sum of a blackbody component with a temperature of \sim 0.4 keV plus a power law component with photon index \sim 4 . We found no pulsations down to 4 % in the 0.01–0.16 Hz range and down to 25 % in the 0.01-128 Hz range . This source resembles other compact central objects ( CCOs ) in SNRs , and we suggest that 1WGA J1713.4–3949 is the associated neutron star for G347.3–0.5 . We also measured the properties of the adjacent radio pulsar PSR J1713–3945 with a 392 ms period and show that it is not associated with 1WGA J1713.4–3949 nor , most probably , with SNR G347.3–0.5 as well .