Abstract The demand for Home Health care (HHC) service increases gradually in all of its sectors. Vehicle Routing Problem (VRP) is an everyday challenging task for the HHC administrative team. Because of its multidimensional resources such as physicians, nurses, medical equipment, drugs, etc. In this review article, we overview the current work of routing problems in HHC and emphasized the problems based on static, dynamic and stochastic strategies along with their solution methodologies, objectives, constraints, etc. Moreover, this paper displays that there exists only very less contribution to work on applying the dynamic and stochastic type of models using metaheuristic algorithms. Metaheuristic algorithm is a technique which is capable of generating good approximation solution within less execution time. Hence, insisting that HHC needs more focus on practical oriented problems such as dynamic and stochastic strategies in the mere future.