Abstract: In general all the geophysical data sets are non-linear in nature and should be tackled in non-linear manner in order to preserve the subtle information, contained in the data. It was customary to linearize non-linear problems for mathematical simplicity and to avoid tedious computations. A method solves a non-linear inversion problem in non-linear manner and avoids cumbersome mathematical computations without losing any information contained in the data. The efficacy is demonstrated on synthetic and field resistivity data, but it can be used for non-linear inversion of any geophysical data, as the general approach of the geophysical inversion is same for any data set.