The winner of the runoff, due to be announced the week of July 22, will become the new Conservative leader and the country's next prime minister, replacing Theresa May.
Hunt edged out Environment Secretary Michael Gove, who got 75 votes, after Home Secretary Sajid Javid was eliminated earlier in the day.
The result spares Johnson a showdown with Gove, his former ally-turned-archrival. The two men jointly led the "Leave" campaign in Britain's 2016 EU membership referendum, but Gove scuttled Johnson's subsequent bid to become prime minister by deciding to run for the job himself, in a race ultimately won by May.
This time around, many in the party doubt that anyone can beat 55-year-old Johnson, a quick-witted, Latin-spouting extrovert admired for his ability to connect with voters, but mistrusted for his erratic performance in high office and his long record of inaccurate, misleading and sometimes offensive comments.
"Boris will say absolutely anything in order to please an audience," historian Max Hastings told the BBC yesterday. "Boris would have told the passengers on the Titanic that rescue was imminent."
Hunt, 52, who has been Culture Secretary and Health Secretary, is considered an experienced, competent minister, but unexciting.
- AP