Robert Leatham Simpson (August 8, 1915 – April 15, 2003) was a general authority of the Church of Jesus Christ of Latter-day Saints from 1961 until his death.

Following his service in the Air Force during World War II, Simpson worked for Pacific Telephone Company for 20 years.

During his career in telecommunications, this included responsibilities as a plant engineer, public relations supervisor, and head of accounting.

Simpson became a general authority of the church in 1961 when he was asked to be the first counselor to Presiding Bishop John H. Vandenburg.

[3] In 1975, Simpson became the temporary president of the church's London Mission, replacing a president who became ill.[4] When the calling of Assistant to the Twelve was discontinued in 1976, Simpson was added to the First Quorum of the Seventy, where he served until 1989, when he was made an emeritus general authority and relieved of full-time church duties.