The LDS church, known by many as the Mormon church has almost 16-million members around the world.
Under Monson, the Mormon Church declared same-sex couples "apostates", meaning they were subject to excommunication.
Monson became president of the church in 2008.
The next church president was not immediately named, but is expected to be Russell M. Nelson.
Monson sought to spread a Mormon message of charity at a pivotal time in the faith's history. Orrin Hatch, who said of Monson, "Service was his motto and humility his hallmark".
She said, "Over the past few years, as Salt Lake City has dealt with critical issues, most notably homelessness, the LDS Church has responded with a high level of compassion and resolve set clearly by President Monson and his deep concern for those less fortunate".
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We stand by the meticulous reporting of Ms Orth. "It's based on a very acclaimed nonfiction book called Vulgar Favors by Maureen Orth that has been vetted for nearly two decades".
His wife, Frances Monson, died in May 2013. The ward - the same unit he had spent his childhood and youth years attending - had more than 1,080 members; 85 of them were widows. The church subsequently expanded leadership opportunities for female missionaries, although it continued to bar women from the priesthood.
Monson became a church bishop at the tender age of 22.
President Monson is survived by three children, eight grandchildren, and many great grandchildren. High-level national AJC delegations visited LDS Church headquarters in August 2012 and November 2013, and in February 2014, LDS apostles visited AJC's global headquarters in NY.
He was the youngest to join the Quorum of the Twelve in over a century. Monson also called for introspection over some of the darker areas of Mormonism's past including polygamy, which the church ended in 1890, and institutional racism, which barred African Americans from the priesthood and in the earliest days of the religion was used to justify slavery.
Monson's successor will not be chosen until after his funeral, according to Mormonnewsroom.org. But President Nelson's priorities in office may be somewhat different, given his background in medicine, his experience training heart surgeons in China and his fluency in Mandarin.
The second-longest serving apostle will be designated as the new president of the Quorum of the Twelve after the reorganization of the First Presidency.
The LDS church credits Nelson, along with Elder Dallin H. Oaks, with establishing the Church of Jesus Christ of Latter-day Saints in every country in eastern Europe. The other opening was created when leader Robert D. Hales died last October.