During the interaction of picosecond laser pulse of intensity 5×10¹⁸ W/cm² with the target we observed a MeV energy proton beam, confined in a cone angle ∼ 30° and directed normal to the target surface. Laser conversion efficiency into fast ions energy (at the front side of the target) was ∼ 1% (and near 5% at the rear). The simulations and optimisation of ion acceleration is discussed here. The laser intensity being ∼ 10M¹⁹ W/cm², nuclear reactions proceed in in the target, particularly resulting in production of the γ-line radiation. In light materials irradiated by the laser beam the γ-photon yield reaches 10^-4 number of fast ions. For nuclear excitation we used also X-ray pump from laser plasma to illuminate film mixture of KBr and Rb⁸⁴. Near 10⁴, 200 Kev decay γ-photons from excited isomer nuclei can be produced per laser shot.