Gas-insulated transmission lines or cables (GITL), owing to their compact nature, offer an attractive alternative to overhead transmission lines where space is limited, such as in densely urban areas. Consequently, it is important to address the issue of power frequency magnetic fields emanating from GITL because of concerns that exposure to these fields might cause, or contribute to, adverse health. This paper aims at evaluating the lateral distributions of magnetic fields near the crossing point of two GITLs. Also, the effects of the crossing angle, the vertical distance between the two lines, the phase arrangement and line loading on the magnetic fields are investigated. The implications of the lateral distributions of magnetic field components at different longitudinal distances from the crossing point of two GITLs are discussed. The effect of the direction of power flow in the crossing line on the magnetic fields is examined. Special attention is given to the case of parallel lines where, the effect of different factors on the magnetic fields for this arrangement is discussed.