In this work we apply point canonical transformations to solve some classes of two coupled nonautonomous nonlinear Schrodinger equations with specific cubic and quintic-time- and space-dependent-nonlinearities. The method applied here allows us to find a class of wide localized (in space) vector soliton solutions of nonautonomous nonlinear Schrodinger equations. The vector solitons found here can be applied to theoretical studies of Bose-condensed atoms in two different internal states and of ultrashort pulse propagation in optical fibers with focusing and defocusing nonlinearities.Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)UNESP Univ Estadual Paulista, DFQ, BR-12516410 Sao Paulo, BrazilUNESP Univ Estadual Paulista, DFQ, BR-12516410 Sao Paulo, BrazilCNPq: 482043/2011-3CNPq: 304252/2011-5CNPq: 306316/2012-9