Clarissa Cordelia ("Clara") Moses Cannon (April 21, 1839 – August 21, 1926) was a Mormon pioneer and a member of the first-ever general presidency of the Primary organization of the Church of Jesus Christ of Latter-day Saints (LDS Church).

In 1846 she took the six-month journey on the ship Brooklyn from New York City to San Francisco via Cape Horn and the Sandwich Islands.

Clara moved to Salt Lake City and in 1875 she became a plural wife of Angus M. Cannon, who would later be prosecuted for unlawful cohabitation under the Edmunds Act; the case of Cannon v. United States eventually went to the United States Supreme Court.

Prior to her service in the general Primary presidency, Clara Cannon was a counselor in the presidencies of the Primary and Relief Society in the Salt Lake Stake of the LDS Church.

[citation needed] Clara Moses Cannon died of throat cancer in Centerville, Utah, aged 87[1] and was interred in Salt Lake City Cemetery.