The vibropressing regime was implemented by means of the testing machines Instron and Zwick. As a bulk materials concrete with low water-cement ratio was used. The form of the samples was cylindrical with a 84.5-mm diameter. A series of experiments was conducted according to the Mean Square Error Latin hypercube design [1]. The vibropressing regime described by the formula f = f0 + fAsin(ωt) was realized by changing three parameters: f0 – pressing force (10–50 kN); fA – force amplitude (1–11 kN); and frequency (10–60 Hz). The three parameters were varied in a specified range. At each point of the Latin hypercube, three sampleswere formed . The curve describing the compression of the sample was approximated by the expression x(t) = x0 + R(t − t0 + ∆) p (2), where x0 = x(t0), Δ = 0.02, and p = 0.05, but parameter R can be changed adapting it to the specific compression curve of the sample [2]. The obtained function (2) was used for further processing of the vibropressing process in general. The samples were tested for strength by compression after 28 days. The criteria and constraints for multi-criteria optimization were advanced. The optimization of pressing force, force amplitude and frequency on the vibropressing process [3] and on the strength of the samples was investigated. The registered force curves were smoothed and approximated with 3-parameter functions. The results are analyzed using the software Design Expert and EDAOpt.