The struggling side beat Wycombe Wanderers 1-0 in the League Two clash after a late goal from Jake Hyde and a last-gasp save by Graham Stack.
A 6,000 strong crowd witnessed the dramatic day which saw Barnet climb out of the relegation zone before their final game at Northampton next week.
Player manager Edgar Davids said: "We couldn't have written it better today, but you have to be realistic.
"We still have a game next week but if we play with same intensity and the same determination we can make a good shot of staying in the league"
And chairman Tony Kleanthous shares his manager's hopes for salvation.
"It's in our hands. We've got to go to Northampton and get a result," he said.
"The boys fought for every ball today. They were playing with and you can't fault their spirit, commitment, determination or effort today.
"We're saying goodbye to the old place today, it's time to find a new beginning. Hopefully that will still in be in the Football League."
The Bees will move to The Hive in neighbouring Edgware next month, which has been their training ground.