(18 April 1625 – 1704), was an English physician to Charles II, often employed by the king to negotiate with puritans and other non-conformists on account of his sympathies with them.
He graduated as a Bachelor of medicine on 3 December 1646, being admitted by virtue of the letters of Colonel John Lambert, governor of the garrison of Oxford.
Through the recommendation of a near neighbour, Thomas Manton, rector of St. Paul's, Covent Garden, who, with other presbyterian divines, had taken a prominent part in the restoration of Charles II, he was made physician to the king, the honour of knighthood also being conferred on him 19 March 1660.
Roger North, who styled him as 'a man of finesse', stated that he was 'in possession of the protectorship at court of dissenting preachers.'
Samuel Pepys said of Baber that he was so cautious that he would not speak in company until he was acquainted with every stranger present.