Fibres in different colours are mixed prior to blending in order to obtain different dyeing effect (melange colour). One of the biggest problems encountered in these mixtures, is the difficulty of estimation of exact ratio of fibre blend to obtain desired melange colours. In this study, to predict the fibre blend colour, 84 pieces of melange colour band sample were obtained by blending of different proportion black and white Viscose and Polyester fibres. Measured colour values of these blends were expressed in CIELab 1976 units (D65 illuminant and 10o standard observer). Stearns-Noechel model in a tristimulus colour matching algorithm was based on for colour prediction. M values in this model (the empirical constant in the Stearns-Noechel model), were obtained by developing a new method through the linear correlations between various blending ratios and Stearns-Noechel function. Average colour difference between measured colour values and calculated colour values was found to be 0.98 CIELab units. This result shows that Stearns-Noechel model can be used in colour matching in fibre blends.