Axial magnetic fields earlier observed in laser‐produced plasma experiments can be generated in the case of nonlinear interactions of lasers with under dense plasmas. It has been shown that for high‐frequency laser (viz. Nd‐glass laser having the wavelength (&lgr;)=1.06 &mgr;m and the power flux (P)=1016W/cm2) the background dc magnetic field would be important only when electron cyclotron frequency is comparable to the laser frequency.