The RFQ‐like funneling concept by Stokes and Minerbo which can be used at low beam energies are studied. It is proposed to modify it to improve the longitudinal stability of the funneling beams. The results of numerical simulations of the funneling concepts are presented. Due to our modification the phase‐width of output beams is reduced from 80° to 35°. The growth of the transverse size is decreased from 6 mm to 2.5 mm, while the content of output beam within radius 0.5 mm is increased from 50% to almost 70%. The electrode shapes of the modified system are presented. ©1996 American Institute of Physics.