Results are presented of an investigation of the polarization of recoil protons appearing in elastic 1r+ -p scattering through an angle of 140 ± 8° in the c.m.s. at an energy of 307 ± 5 Mev. A polarization value P 1 = -0.19 ± 0.17 has been deriver from the data on the magnitude of the left-right asymmetry in elastic scattering of recoil protons on photographic emulsion nuclei. Phase shifts satisfying the indicated polarization value and consistent with the differential cross section for elastic scattering of 71"+ -mesons by protons are given by Eq. (1). Problems connected with the use of various phase shift sets for analysis of the experimental data are discussed.