Mr Morris, who was last seen running in Alton, Hampshire, on May 6, was the UK ambassador to Nepal for four years until 2019.
Officers say they have discovered a body in Alice Holt Forest and the death was not being treated as suspicious.
Formal identification has not yet taken place, but the 52-year-old’s family have been notified.
Mr Morris, a father-of-three, was working as British High Commissioner to Fiji before his disappearance.
In a previous statement, the Foreign Office described him as a “much-valued and well-liked colleague”.
More to follow…