The stability of distillation system has always been difficult to determine due to the nonlinear natural of the unit operation. In this work the Relative Gain Array RGA of MIMO were obtained to pair the loops that give minimum interaction in a distillation column. Wood and Berry 2X2 and Ogunnaike and Ray 3X3 were taken as case studies. the procedure is to compute the Relative Gain Array RGA by firstly getting the matrix at s=0. From the matrix obtained the inverse was calculated, from the inverse the transposed was made and the Relative Gain Array RGA was calculated by multiplying elements of transposed by elements of the matrix, from Relative Gain Array RGA the loops that gave minimum interaction were specified. The loops selected were subjected to stability analysis; which were plotted using MATLAB software. The results show that the systems are unconditionally stable. RGA can easily be used to select loops with minimum interactions; they are the tools to be applied wherever complex control MIMO systems are applied.