We investigated the superconducting properties of V/Cr-multilayers grown epitaxially on MgO(001) and Al2O2(1120) substrates. The samples with a preferred orientation of (001) and (110) were fabricated on MgO and Al2O2, respectively. The Cr-layer thickness was varied from dCr = 2 to 100 angstroms under 300 angstroms thick V- layer. The critical temperature for (001)V/Cr abruptly drops in the range of dCr = 5 to 30 angstroms, becoming a plateau above it and keeps lower than that for (110)V/Cr, in which Tc is gradually decreased up to dCr = 80 angstroms. The dimensional crossover phenomenon on the parallel upper critical fields HC2| takes place in the range of dCr = 20 approximately 70 angstroms and 5 approximately 25 angstroms for (110)V/Cr and (001)V/Cr, respectively. The superconducting layers are decoupled by dCr = 30 angstroms for (001) and 80 angstroms for (110). The multilayers with (001) texture exhibit a little larger anisotropy for HC2| in such decoupling region compared with the case of (110). The strong pair breaking effect for (001) samples may be caused by the magnetic structure of Cr(001) surface.