Hypergroups are generalizations of groups. If this binary operation is taken to be multivalued, then we arrive at a hypergroup. The motivation for generalization of the notion of group resulted naturally from various problems in non-commutative algebra, another motivation for such an investigation came from geometry. In various branches of mathematics we encounter important examples of topologico-algebraical structures like topological groupoids, groups, rings, fields etc. In this contribution various kinds of continuity of hyperoperations will be introduced, namely pseudocontinuous, strongly pseudocontinuous and continuous hyperoperations. Further, the relationship between them is studied. Our aim is to generalize the concept of topological groupoid to topological hypergroupoid.