 Lambe was a member of the high commission court from 1629 until its abolition by the Long Parliament, and was one of Laud's most active supporters throughout that period.In the autumn of 1633 he succeeded Sir Henry Marten as dean of the arches in the court of Canterbury.On 25 February 1635 he was appointed commissary of the archdeaconries of Leicestershire and Buckinghamshire.