The invention provides a self-adaptive triangular multi-resolution grid vertex position predicting method and a self-adaptive triangular multi-resolution grid vertex position predicting device. The method comprises the following steps of: initiating an initial grid to generate a smoothed approximate evaluation grid of the initial grid; generating a base layer according to the smoothed approximate evaluation grid of the initial grid; generating an enhancement layer according to the base layer; calculating a first predicted value and a second predicted value based on two prediction types according to the enhancement layer; and selecting the first or second predicted value as the final predicted value of a grid vertex position according to the first and second predicted values and the optimal policy criteria. The self-adaptive triangular multi-resolution grid vertex position predicting method and the self-adaptive triangular multi-resolution grid vertex position predicting device provided by the invention can effectively solve the problem of predicting the triangular multi-resolution grid vertex position.