We would like to present the numerical procedures of constructing the finite energy SU(2) Yang-Mills-Higgs particles of one-half topological charge. Four types of numerical one-half monopole solutions, Type A1, Type A2, Type B1, and Type B2 solutions have been found from our numerical calculation and comparison are made to investigate whether they are distinct solutions. Our analysis shows that there are two numerically distinct configurations with different total energies, energy density distributions and magnetic dipole moments, namely the Type 1 (A1 and B1) and Type 2 (A2 and B2) respectively. Through our numerical analysis we are able to conclude that the Type A (A1 and A2) and Type B (B1 and B2) solutions are exact 180° rotation of the z-axis about r = 0 of one another. In order to check our numerical accuracy, the calculations are performed by using two different grid sizes, 70 × 60 and 90 × 80, to cover the whole integration regions. We are able to obtain higher accuracy graphs from the latter set of data for values of the Higgs field self-coupling constant 0 ≤ λ ≤ 12.