Title: Hamiltonian systems on k-Cosymplectic Manifolds Author: Manuel de Leon, Eugenio Merino, Jose A. Oubi\~na, Paulo R. Rodrigues and Modesto R. Salgado Notes: 26 pages Abstract: The hamiltonian framework on symplectic and cosymplectic manifolds is extended in order to consider classical field theories. To do this, the notion of $k$-cosymplectic manifold is introduced, and a suitable hamiltonian formalism is developed so that the field equations for scalar and vector hamiltonian functions are derived. M.S. classification: 53C15, 70G50. PACS numbers: 03.50.-z, 02.40.Ma