A method is suggested to determine the regular and/or irregular transverse sectional shape and area of homogeneous fibres. This method depends on double-beam interferometry using a Pluta polarizing interference microscope attached to a fibre rotator device. The transverse sectional shapes of the fibres tested are determined by measuring the thickness profiles and varying the angle of rotation for these fibres. The transverse sectional shapes and areas of (polypropylene 4:1 draw ratio 515 tex polypropylene, Bolton, UK), nylon 6 regular fibres and two samples of acrylic fibres with irregular transverse sectional shape are determined using the suggested method. Also, an optical microscope is used to obtain the cross sectional shapes of bundles of these fibres to confirm the results of this method. The mean refractive indices of the fibres used are determined using the measured values of the mean transverse sectional area. Experimental microinterferograms, obtained by varying the angle of rotation, are used to map the cross sectional shape of these fibres and are utilized for illustrations.