The STAR experiment at the Relativistic Heavy Ion Collider (RHIC) performs studies of diffractive processes with the focus on the exclusive production of particles in central range of rapidity. In 2015 STAR collected 18 pb⁻¹ of data in polarized proton+proton collisions at $\sqrt{s}=200\text{GeV}$ to measure Central Exclusive Production (CEP) process pp → pX p through Double Pomeron Exchange (DPE) mechanism. The intact protons moving inside the RHIC beampipe after the collision were measured in silicon strip detectors (SSD), which were placed in the Roman Pot vessels. This enables full control over interaction kinematics and verification of the exclusivity of the reaction by measuring the total (missing) transverse momenta of all final state particles: the central diffractive system in the Time Projection Chamber (TPC) and the forward protons in the Roman Pots. With the use of ionization energy loss in the TPC, dE/dx, it was possible to discriminate various production channels in pp → pX p reaction. This paper presents results on exclusive production of two charged particles (π⁺π⁻ and K⁺ K⁻) in mid-rapidity region, −1 < η < 1, with small squared four-momentum transfer of forward protons, 0.03 < −t < 0.3 (GeV/c)², obtained using 2.5% of full statistics.