Monomeric and multimeric binding molecules that are capable of specifically binding to hemagglutinin (HA) of at least two influenza A virus strains, said strains including HA of two different HA subtypes from phylogenetic group 2; or capable of specifically binding to hemagglutinin (HA) of at least one influenza A virus strain from phylogenetic group 1 and at least one influenza A virus strain from phylogenetic group 2; or capable of specifically binding to hemagglutinin (HA) of at least one influenza B virus strain are provided. The binding molecules preferably are also capable of neutralizing at least two influenza A virus strains from phylogenetic group 2; or capable of neutralizing at least one influenza A virus strain from phylogenetic group 1 and at least one influenza A virus strain from phylogenetic group 2; or capable of specifically neutralizing at least one influenza B virus strain.