Lady Macbeth is the one who initially suggests the idea of murdering King Duncan to Macbeth to fulfill the witches' prophecy. She encourages Macbeth to be ambitious and ruthless, convincing him that it is necessary for them to act in order to seize power. Lady Macbeth reassures Macbeth that they can carry out the murder successfully and convinces him to go through with the plan.
Macbeth, on the other hand, is initially hesitant and conflicted about the idea of murdering Duncan. He is torn between his ambition to become king and his sense of morality. He is troubled by the thought of committing such a heinous act and fears the consequences of his actions. Ultimately, Macbeth is swayed by Lady Macbeth's persuasion and his own ambition, and he agrees to go along with the plan.
Overall, Lady Macbeth is the driving force behind the decision to murder King Duncan, while Macbeth grapples with his conscience and struggles to come to terms with the idea.