Ohmic ignition condition on axis of the DT tokamak plasma heated by minor radius and major radius adiabatic compression is studied assuming parabolic profiles for plasma parameters,elliptic plasma cross section,and Neo-Alcator confinement scaling.It is noticeable that magnetic compression reduces the necessary total plasma current for Ohmic ignition device.Typically in compact ignition tokamak of the minor radius of 0 .47m,major radius of 1.5m and on-axis toroidal field of 20T,the plasma current of 6.8MA is sufficient for compression plasma,while that of 11.7MA is for no compression plasma . Another example with larger major radius is also described.In such a device the large flux swing of Ohmic transformer is available for long burn.Application of magnetic compression saves the flux swing and thereby extends the burn time.