Open-WBO-Inc is a MaxSAT solver tailored to the incomplete MaxSAT problem. In incomplete MaxSAT, the goal is to find an approximate solution to a given MaxSAT formula in very little time. Open-WBO-Inc uses various approximation techniques, such as those that reduce encoding sizes, to find a solution close to the optimal in much lesser time than would otherwise be needed. Open-WBO-Inc is based on Open-WBO, a state-of-the-art MaxSAT solver, and has been implemented in C++.