Abstract In this article, a novel approach for solving static structural problems based on Artificial Neural Network (ANN) has been presented. Various numerical methods are available to solve static problems of structures having crisp parameters by converting the problem to algebraic systems. However, sometimes these structures involve uncertainties. In that case, these problems may not be handled by the usual/existing methods. In the present study, uncertainties are considered as fuzzy. As such, one may get fuzzy linear system of equations. In order to handle these type of fuzzy linear systems, the concept of ANN has been developed. Detail procedure with algorithm has been included for solving the titled problems. Here, various example problems have been examined and results have also been compared with the existing ones in special cases. Highlights • Static structural problem with fuzzy parameters has been transformed to fuzzy linear systems. • A novel connectionist approach for solving fully fuzzy linear system has been presented. • Various static structural problems for example six bar truss structure, rectangular sheet and three bar truss structure have been investigated and their results with fuzzy plots have been compared with the existing results available. [ABSTRACT FROM AUTHOR]