The orientation distribution (morphological texture) of fibres in a composite is very important in determining the properties of the material. Therefore, methods which can provide quantitative descriptions of the morphological texture are essential. One approach to determining the morphological texture function (MTF) is to measure the orientation distribution of the crystals in the fibres. Since many types of fibres used for reinforcements are crystalline and textured (i.e. carbon fibres, steel fibres, etc.) this approach may be interesting for commercial/industrial applications. For this technique to be applied, the crystallographic texture intrinsic to the fibres must be determined and subsequently, measurements of the 'global' crystallographic texture should be made in the composite. The morphological texture can then be calculated by a deconvolution of the composite texture with the fibre's crystallographic texture. The deconvolution is most easily performed using the series expansion representation of texture functions. In this paper, the morphological texture was determined in a woven fabric made from bundle drawn AISI 316L stainless steel fibres embedded in an Al-13wt% Si alloy matrix. Straight fibres removed from the fabric serve as the reference material for the deconvolution. Neutron diffraction pole figures were used to determine the MTF's.