The Williams Funeral Home in Arkansas confirmed she had passed away just after 10am on Monday at her home at the Silver Oaks Health and Rehabilitation Centre in Camden.
Last week she had told staff there that she wanted a visit from the US president.
She said she had voted for Barack Obama twice.
Kathy Langley, an administrator at the nursing home, said staff were "devastated" by their loss.
She said Ms Weaver had enjoyed looking at newspaper articles written in the last few days about her being the world's oldest person.
