Compact double neutron star (DNS) systems are unique laboratories for testing gravitational theories and studying DNS mergers. Here we report the properties of a new DNS system, PSR J1856–0039, discovered in the Five-hundred-meter Aperture Spherical radio Telescope (FAST). The pulsar is mildly recycled with a period of 23.4 ms in a compact eccentric orbit () with an orbital period of 2.36 hours. By following up FAST observations, we measured the relativistic effects, including the orbital period derivative , periastron advance , and Einstein delay . This DNS system has a low orbital inclination of and the lowest total mass of any known DNS, , with a determined pulsar mass of and a companion mass of , one of the lowest neutron-star masses. The observed orbital decay due to gravitational-wave emission and the orbital decay predicted by general relativity are consistent at a level of (68% confidence). This DNS will merge after 82 Myr and may form a stable neutron star or collapse into a black hole after spin-down. Long-term monitoring could potentially probe the Lense-Thirring precession.