This paper describes elemental technologies for the creation of three-dimensional(3-D) sound-field to implement the next-generation Ship Handling Simulator with human -computer interaction, known as Virtual Reality. In the virtual reality system, Head-Related Transfer Functions(HRTF's) are used to generate 3-D sound environmental context. Where, the HRTF's are impulse response characterizing the acoustical transformation in a space. This work is divided into two parts, the part Ⅰis mainly for the model constructions of the HRTF's, the part Ⅱis for the control of 3-D sound-field by using the HRTF's . In this paper, as first part, we search for the theory to formulate models of the HRTF's which reduce the dimensionalityof the formulation without loss of any directional information . Using model HRTF's we report results from psychophysical tests used to asses the validity of the proposed modleing method.