A mathematical analysis for oxygen transport in capillary and tissue is presented for the case of first order consumption by the tissue in presence of magnetic field .This model consist of a single capillary from which substrate diffuses into a surrounding co-axial tissue. The oxygen transport is appreciably influenced by the application of the magnetic field. Analytical results are obtained by using a series solution method and Picard's type iterative procedure .We have obtained the results for oxygen concentration in capillary and tissue region. This description has a complete view on effects of different parameter on the oxygen concentration in both regions.