Abstract Let $G$ be a graph with vertex set $V(G)$ and edge set $E(G)$. The degree of a vertex $a\in V(G)$ is denoted by $d_{G}(a)$. The general sumconnectivity index of $G$ is defined as $\chi_{\alpha}(G)=\sum_{ab\in E(G)}(d_{G}(a)+d_{G}(b))^{\alpha}$, where $\alpha$ is a real number. In this paper, we compute exact formulae for general sumconnectivity index of several graph operations. These operations include tensor product, union of graphs, splices and links of graphs and Haj\'{o}s construction of graphs. Moreover, we also compute exact formulae for general sumconnectivity index of some graph operations for positive integral values of $\alpha$.
These operations include cartesian product, strong product, composition, join, disjunction and symmetric difference of graphs.
