Catalyzes the attachment of tyrosine to tRNA(Tyr) in a two-step reaction: tyrosine is first activated by ATP to form Tyr-AMP and then transferred to the acceptor end of tRNA(Tyr). ATP + L-tyrosine + tRNA(Tyr) = AMP + diphosphate + H(+) + L-tyrosyl-tRNA(Tyr) Homodimer. Belongs to the class-I aminoacyl-tRNA synthetase family. TyrS type 1 subfamily.