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Magnetoelectric effect (ME effect), magnetostriction, and piezocoefficient of the paramagnetic piezoelectric NiSO4•6H2O and CsCuCl3 single crystals have been measured in a wide temperature range in magnetic fields up to 14T. The electrical polarizations P is a quadratic function of the magnetic field H at temperatures higher than 30 K. Magnetoelectric effect in the NiSO4•6H2O does not saturate even at high magnetic fields, as it was suggested by L.S. Hou N. Blombergen [Phys. Rev. 138, A1218 (1965)]. The temperature dependence of the ME effect of the both crystals has a sharp maximum in the vicinity of the liquid helium temperature and slowly decreases with the increasing temperature. In the case of CsCuCl3, the ME effect changes a sign around 40 K, and is not zero at temperatures up to 240 K. The ME effect may be partially described by combined influence of the magnetostriction and piezoelectricity.