The round domain fan-shaped column vicinity-area terrain correction me thods used previously all show certain limitations and drawbacks in that they usually fail to simulate complex terrains and therefore suffer from relatively low precision.A polyhedral analytical method for square domain vicinity-area terrain correction is put forward in this paper. By using triangle to fit the terrain and adopting square as terrain correction domain, the calculation precison is greatly raised and the calculation is readily realized. A few examples, given in this paper demonstrate that the precision of this method is at least over ten times higher than that of the round domain fan-shaped vicinity area terrain correction.This method also applies to medium-distant area high precision terrain correction calculation.