We shall introduce and study the pairwise almost Lindelöf bitopological spaces and some results obtained. Furthermore, we study the pairwise almost Lindelöf subspaces and subsets, and investigate some of their characterizations. We also show that the pairwise almost Lindelöf space is not a hereditary property. Some examples will be considered in order to establish some of their properties. Finally, certain conditions on which a bitopology is reduced to a single topology are investigated.

bitopological space, pairwise almost Lindelöf, -almost Lindelöf relative, -regular open, pairwise semiregularization.