We consider the problem of interaction of a solitary wave with a moving external source within the framework of Korteweg– de Vries (KdV) equation. We show that for certain profiles of external source the problem has exact solutions in the form of a stationary solitary waves coupled with the force. For the solitary waves which are not trapped by the external force of a small amplitude we obtain approximate solutions by means of the asymptotic method and analyse solutions with the arbi- trary relationship between the widths of forcing function and solitary wave. Results obtained agree well with the results of previous works where only the limiting cases of very narrow or infinitely wide forcing as compared with the width of soli- tary wave were studied. Several new regimes of soliton interac- tion with width the forcing have been revealed. The theoretical results have been validated by the direct numerical modelling within the framework of forced KdV equation.