We present an X-ray spectral analysis of the nearby double radio relic merging cluster Abell 3376 ( z = 0.046 ) , observed with the Suzaku XIS instrument . These deep ( \sim 360 ks ) observations cover the entire double relic region in the outskirts of the cluster . These diffuse radio structures are amongst the largest and arc-shaped relics observed in combination with large-scale X-ray shocks in a merging cluster . We confirm the presence of a stronger shock ( { \cal M } _ { W } = 2.8 \pm~ { } 0.4 ) in the western direction at r \sim~ { } 26 \arcmin , derived from a temperature and surface brightness discontinuity across the radio relic . In the East , we detect a weaker shock ( { \cal M } _ { E } = 1.5 \pm~ { } 0.1 ) at r \sim~ { } 8 \arcmin , possibly associated to the ’ notch ’ of eastern relic , and a cold front at r \sim~ { } 3 \arcmin . Based on the shock speed calculated from the Mach numbers , we estimate that the dynamical age of the shock front is \sim 0.6 Gyr after core passage , indicating that Abell 3376 is still an evolving merging cluster and that the merger is taking place close to the plane of the sky . These results are consistent with simulations and optical and weak lensing studies from the literature .