The approximation method has been followed to analyze the state of positive boron ion (B+) into six-pair electronic wave functions, one for K-shell, one for Lshell, and the rest for inter-shell by means of a new Hartree-Fock wave function. A theoretical investigation has been carried out on the properties of positive boron ion for intra-shell and inter-shell in momentum space and compared with the results of position space. The following properties have been investigated in the two spaces: (a) the one-particle radial density distribution function, (b) twoparticle radial density distribution function, (c) the expectation values, (d) the standard deviation, (e) the partial distribution function, (f) the electron-electron distribution function, (g) Compton profile, (h) the total energy and the expectation value of potential energy and that of kinetic energy. Due to the importance of the above parameters in investigating the physical and chemical properties of atoms and ions, computer programs in Quick-Basic and MATHCAD (V.7) have been written to perform the computations concerning the (positive boron ion (B+), A comprehensive comparison between these parameters in momentum space and position space have been deduced.