This paper describes the precondition of transporting stably intense beams in an alternate focusing solenoid field and presents the method of confining corkscrew oscillations by the field. The results of numerical calculation show that the centroid transverse displacement is decreased from 5mm (at the outset) to approximate 0 (at the terminal) when the 0.81m alternating period and the 0.2T peak magnetic field are used and 11.2MeV beams are transported 2.5m. The experimental setup whose layout is similar to that of numerical calculation is established and the experimental results are almost in agreement with the results of numerical calculation.