Lucy Cannon (née Grant; October 22, 1880 – May 27, 1966) was the fourth general president of the Young Women organization of the Church of Jesus Christ of Latter-day Saints (LDS Church) from 1937 to 1948.

In 1923, Cannon was asked to succeed Mae Taylor Nystrom as the second counselor to Martha Horne Tingey, the general president of what was then called the Young Ladies' Mutual Improvement Association.

In 1929, when Ruth May Fox succeeded Tingey, Cannon was asked to be her first counselor.

Cannon served in this capacity until 1937, when Fox was released and Cannon was selected by her father, who was President of the Church, to be the fourth general president of what had been renamed the Young Women's Mutual Improvement Association.

Lucy Grant Cannon died in Salt Lake City.