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The elastic resonance scattering of ^17F+p is studied in inverse kinematics via a thick-target method. The excitation function for ^17F+p elastic scattering is obtained within the energy interval of Ec.m ≈ 0.4-1.7 MeV. The experimental excitation function is analyzed with a multilevel R-matrix code MULTI7, and the proton widths are deduced. The α decay from 6.15 MeV 1- state in 18Ne is observed, which is critical to the 14O(α, p)17F reaction as the main breakout route from CNO cycle to rp-process in supeovae and x-ray bursts.