The interaction of positron acoustic soliton waves (PASWs) with the arbitrary collision angle in plasma including cold fluid positrons, stationary ions and electrons with Kappa-Cairns (K-C) distribution function have been studied. The equations of Korteweg-de Vries (KdV) and the phase shifts are obtained by employing the extended Poincar´e–Lighthill–Kuo (PLK) method for the two colliding waves. The influences of parameters of the K-C distribution function (κ and α), the collision angle θ and the proportion of the ion (electron) and positron unperturbed densities (βi(βe)) on the phase shifts are investigated.