The beleaguered side were in danger of going into administration after being without a home since leaving The Stoop at the end of last season.
Barnet chairman Tony Kleanthous said: "We are delighted to welcome the London Broncos into our family at The Hive."
The agreement between the two clubs will also cover the 2015 campaign.
It will see Broncos play their home fixtures at the non-league football club's 5,176-capacity The Hive stadium, as well as training at their former ground, Underhill.
Their future had been in question since the end of last season when, as well as their agreement to play at The Stoop coming to an end, a number of players and backroom staff had left the club, including captain Tony Clubb, experienced utility back Luke Dorn and head of youth performance Phil Jones.
The Broncos announced their intention to appoint administrators on 20 November, leaving them with a deadline of 17:00 GMT on 3 December to secure their future.
But this date was extended by 10 days so they could continue negotiations.
"Our focus has always been to ensure we made the right decision going forward," said Broncos chairman David Hughes.
"Over the last 10 days we have worked closely with the Rugby Football League and Barnet chairman Tony Kleanthous to avoid administration and secure the future of the Broncos.
"I believe this is the right decision, not only for the club, but also for the future of rugby league in London."
The announcement is the culmination of six months of talks designed to safeguard Broncos' future.