Some methods of the plasma liner stabilization in addition to entraining of an initial axial magnetic field were used in the experiments on the SNOP‐3 generator (Im ≃ 1.1 MA,&Tgr; ≃ 100 ns). Helical current return rods were used to stabilize the liner (annular gas puff) at the beginning of the implosion. A 50‐fold stable radial compression of the krypton liner was observed using a time‐integrated pinhole camera.Double shell liners with an initial magnetic field are attractive from the viewpoint of stable high‐radius‐ratio liner implosions and efficient energy transfer from the generator to the plasma pinch of massm < m1(m1is the liner mass required to implode the liner at the peak of the current pulse).Model 0‐dimensional calculations of the motion dynamics of the shells and experiments on double shell liner implosions were perfomed. The radius of a stable compressed argon inner shell was measured to be 50–60 &mgr;m (at an initial radius of 5 mm).The maximum magnetic fieldBm ≃ 6000 Twas estimated using the measured radius of the compressed nitrogen inner shell.The effect of liner stabilization on the X‐ray yield and the possible future experiments using the stable liner implosions are discussed.