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New methods for the reduction of high-order, linear time invariant systems is proposed. The methods are based on the different techniques and generates low order stable models retaining both the initial Markov parameters and time-moments, of the original system. Theses models give a better approximation for both the steady-state as well as the transient part of the time response. The proposed procedures avoids the necessity of formulating Routh-type arrays, application of reciprocal transformation, finding the time-moments of the nth order original system before hand and the use of gain-factor, to generate the denominator and numerator of the models unlike other methods. The new procedures are simple, direct and computationally superior to other methods. The methods are well illustrated with pupillary light reflex system. These methods are implemented using RMS Model Order Reduction MATLAB Tool and also responses are analyzed. In this paper a MATLAB-based tool with a Graphical User Interface (GUI), to compute reduced models of a low damping plants are presented. The model reduction techniques implemented in this tool are based on Different techniques. The methods selected in this paper are eleven. Upon execution of the toolbox, a GUI will appear with four frames named “METHODS”, “INPUT DATA”, “OUTPUT OPTIONS”, and “DISPLAY UNIT”.