This study is part of a research endeavor called the UPLB Biomathematics Initiative which aims to help solve biological problems through mathematical modeling. Specifically, we consider here a problem on the management of bee colonies which is done in collaboration with the UPLB Bee Program. This paper focuses on the construction of a cellular automaton model that describes the spatial distribution of mites (Varroa destructor Anderson and Trueman) in honeybee (Apis mellifera Linnaeus) colonies. Through this model, we are able to construct a computer simulation that shows the development of mite infestation through time. The collected data during the early stage of mites spread verify the model constructed.