Blazar PG 1553+113 is thought to be a host of supermassive black hole binary system. A 2.2yr quasi-periodicity in the {gamma}-ray light curve was detected, possibly a result of jet precession. Motivated by the previous studies based on the {gamma}-ray data, we analyzed the X-ray light curve and spectra observed during 2012-2020. The 2.2yr quasi-periodicity might be consistent with the main-flare recurrence in the X-ray light curve. When a weak rebrightening in the {gamma}-ray was observed, a corresponding relatively strong brightening in the X-ray light curve can be identified. The harder- when-brighter tendency in both X-ray main and weak flares was shown, as well as a weak softer-when-brighter behavior for the quiescent state. We explore the possibility that the variability in the X-ray band can be interpreted with two-jet precession scenario. Using the relation between jets and accretion disks, we derive the primary black hole mass ~3.47x10^8^M_{sun}_ and mass of the secondary one ~1.40x10^8^M_{sun}_, and their mass ratio ~0.41.