The modified additive quark model, proposed recently, allows to improve agreement of the standard additive quark model with the data on the pp,pp, π ± p, γp and γγ total cross-sections, as well as on the ratios of real to imaginary part of pp andpp amplitudes at t = 0. Here, we extend this model to non forward elastic scattering of protons and antiprotons. A high quality reproduction of angular distributions at 19.4 GeV ≤ √ s ≤ 1800 Gev is obtained. A zero at small |t| in the real part of even amplitude in accordance with a recently proved high energy general theorem is found.