In this paper, it deals with Noise pollution from motor vehicle in cities specially in developing countries has been a major source of urban noise pollution and hence a cause of concern for the administrators of the cities as well as for researchers in the field of ecology and Mathematics. In the present work, the fuzzy membership functions for some of the attributes regarding Noise pollution from motor vehicle are proposed. To study the index of Noise pollution in different area of a city, The Noise pollution index is proposed, which takes into account the membership function for the attributes of pollution. By applying a suitable interpolation formula (in our case Lagrange’s interpolation formula) a polynomial curve is obtained, which gives the measure of Noise pollution at any point of the city under certain assumptions. The effectiveness and suitability of the method is established by taking an example.