The radiation properties of a whispering-gallery-mode （WGM） fibre laser based on skew beam pumping have been studied. It is found from experiment that when pumped by skew light along the fibre’s axis, both transverse electric wave （TE） and transverse magnetic wave （TM） exist in WGM lasing emission simultaneitly. With the increase of refractive index of cladding dye solution, the wavelength spacing between TE and TM waves of which the radial mode number and angular mode number are the same value decreases, and the central lasing wavelength of WGM bluely shifts to short wavelength direction. Based on radiation theory of WGM fibre laser and a model of four-energy levels of dye laser, the obtained experimental results are well explained.