The material testing machine Instron 8802 was used for experiments with raw concrete vibropressing. The experiments were conducted according to the Mean Square Error Latin hypercube design. The influence of pressing force, force amplitude and frequency on the pressing process was investigated. The registered displacement and force curves were smoothed and approximated with 1- 3 parameter functions. The dependence of these parameters on the pressing force constant component, force oscillation amplitude and frequency was determined using nonparametric kriging approximations. The approximations were validated with additional physical experiments. The estimated relative prediction error was 15%. The built approximated models were used for multiobjective optimization of the vibropressing process. Optimization criteria were: compacting rate, consumed energy, pressing cycle length. Pareto frontier surfaces were constructed and analyzed.