The angular dependence of the upper critical field, H c ͑⌰͒, for Nb/ Pd multilayers with different geometrical symmetries ͑i.e., with an even or an odd number of bilayers, N bil ͒ and thickness of Nb and Pd layers of the order of superconducting coherence length were investigated ͑the angle ⌰ is here defined from the plane parallel to the sample surface͒. The presence of an angular dimensional crossover at some temperature dependent angle ⌰ * ͑T͒ was established. At angles ⌰Ͻ⌰ * ͑T͒ the multilayers are in two-dimensional mode while at ⌰Ͼ⌰ * ͑T͒ they are in a three-dimensional one. In addition, the sample with odd N bil has a larger value of ⌰ * ͑T͒ with respect to the sample with even N bil . The experimental results have been qualitatively explained in the framework of the Ginzburg-Landau theory. It was shown that the main features of the H c ͑⌰͒ dependences in samples with even and odd N bil values are related to the different localizations of the superconducting order parameter.