Abstract. Precise and absolute beam polarization measurements are critical for the RHIC spin physics program. Because all experimental spin-dependent results are normalized by beam polarization, the normalization uncertainty contributes directly to final physics uncertainties. We aimed to perform the beam polarization measurement to an accuracy Of A&am/Pbeam < 5%.The absolute polarimeter consists of Polarized Atomic Hydrogen Gas Jet Target and left-right pairs of silicon strip detectors and was installed in the RHIC-ring in 2004. This system features proton-proton elastic scattering in the Coulomb nuclear interference (CNI) region. Precise measurements of the analyzing power AN of this process has allowed us to achieve Mbeam/Pbeam = 4.2% in 2005 for the first long spin-physics run.In this report, we describe the entire set up and performance of the system. The procedure of beam polarization measurement and analysis results from 2004 -2005 are described. Physics topics of AN in the CNI region (four-momentum transfer squared 0.001 < -t < 0.032 (GeV/c)2) are also discussed. We point out the current issues and expected optimum accuracy in 2006 and the future.