The present paper is designed to compare the distribution of digoxin administered through an Intravenous (i.v.) and Oral (p.o.) in central and peripheral compartments. The model under consideration is denoted by a system of three non-linear ordinary differential equations. The Eigenvalue and the Laplace transform methods were used to solve the system of equations. In this model, digoxin was administered to three subjects through i.v. and three subjects through p.o. then, the serum concentrations were measured over a period of 6 h. The transfer coefficients were obtained from digoxin concentrations using the method of residuals and the variation of digoxin concentration–time curves plotted using MATLAB. In this model, we consider excretion is only from the peripheral compartment.