US news anchor Savannah Guthrie has announced her family is offering a $1m reward for information leading to the return of her mother on day 24 of the search for the 84-year-old.

Fighting back tears, the NBC host said in an Instagram video that they are "aching" for Nancy Guthrie, who is suspected to have been abducted from her home in Tucson, Arizona.

"We still believe in a miracle, we still believe that she can come home - hope against hope," said the presenter.

"We also know that she may be lost, she may already be gone, she may have already gone home to the Lord that she loves."

In the video released on Tuesday morning, Savannah Guthrie also said her family would donate $500,000 to the National Center for Missing and Exploited Children.