No. Muslims worship God alone. Muhammad ﷺ is honoured as the final messenger, but he is not divine, and worshipping him would be the greatest sin in Islam.
The fuller answer
The shahada, the declaration that makes a person Muslim, says: 'There is no god but God, and Muhammad is His servant and messenger.' The word servant is placed before messenger on purpose. The Quran itself says that Muhammad ﷺ is only a messenger, and that messengers have passed before him.
The Prophet ﷺ said, 'Do not praise me as the Christians praised the son of Mary. I am only a servant, so say: the servant of God and His messenger.' Muslims love him, say 'peace and blessings be upon him' when his name is mentioned and follow his way, but they pray only to God and ask only Him.
Muhammad is not but a messenger. [Other] messengers have passed on before him. So if he was to die or be killed, would you turn back on your heels [to unbelief]? And he who turns back on his heels will never harm Allah at all; but Allah will reward the grateful.
Say, "I am only a man like you, to whom has been revealed that your god is one God. So whoever would hope for the meeting with his Lord - let him do righteous work and not associate in the worship of his Lord anyone."
This answer follows the mainstream Sunni understanding and is general learning, not a fatwa. Where Muslims differ, the answer says so. Have a question of your own? Write to us.