Genus is a generic term used in the classification of living organisms or binomial nomenclature. For instance, In the contexts of botany, genus is a taxonomic group that classifies more than one species of plants that are closely related in characteristics.
So for Birds of Prey; Family, Genus, Species would be for instance;
Family = Accipitridae (Hawks and Eagles),
Genus = Eagles (Aquila),
Species = Golden Eagle (Chrysaetos)
Below are silhouettes of Genus's of North American Birds of Prey.