Research and developed most finite element creation law is consisted of algorithm of two steps that compose mesh generation after node generation mainly last 30 years. But, this algorithm is not easy to be not more efficient than method to node generation and mesh generation at the same time, and also regulate mesh shape. So, algorithm that node and mesh generation can consist at the same time about 2 dimensions shape developed, but part that edge by size of fixed node size and node creation are not formed fussily was found. Introduced Fuzzy Logic by reform measure about problem of algorithm to create node and mesh at the same time at algorithm that develop in this research. Created mesh that is optimized through method to do to substitute little more several element sizes and element size of corner. Algorithm that do mesh generation to embody little more element shape of size that user wants through repartition or rearrangement also created addition. And added algorithm that divide little more minute mesh generation shape when assigned the border to opposite bank about shape of the particular border. Effectiveness of such developed algorithm did to create triangularity mesh generation automatically through user's border data input and required element size looking through the presented various two-dimensional examples.