To hand something over to someone; to deliver or give directly into someone's hand.
先生は宿題を一人ずつ手渡した。
The teacher handed the homework to each student one by one.
彼は封筒を私にそっと手渡した。
He quietly handed the envelope to me.
代表が賞状を受賞者に手渡した。
The representative handed the certificate to the award recipient.