The cross section asymmetry Σ has been measured for the photoproduction of π • -mesons off protons, using polarized photons in the energy range E γ = 0.5 − 1.1 GeV. The CM angular coverage is θ * π = 85 • − 125 • with energy and angle steps of 25 MeV and 5 • , respectively. The obtained Σ data, which cover the second and third resonance regions, are compared with existing experimental data and recent phenomenological analyses. The influence of these measurements on such analyses is also considered.