We have carried out the harmonic analysis of the atomic hydrogen (H I) surface density maps and the velocity fields for 11 galaxies belonging to the Ursa Major group, over a radial range of 4–6 disc scalelengths in each galaxy. This analysis gives the radial variation of spatial lopsidedness, quantified by the Fourier amplitude $A_1$ of the m = 1 component normalized to the average value. The kinematical analysis gives a value for the elongation of the potential to be \sim 10 per cent. The mean amplitude of spatial lopsidedness is found to be \sim 0.14 in the inner disc, similar to the field galaxies, and is smaller by a factor of \sim 2 compared to the Eridanus group galaxies. It is also shown that the average value of A1 does not increase...