Barnet have offered new contracts to Joe Devera and Lee Harrison.
Teenage full-back Devera has impressed at Underhill this season after coming through the PROTEC Academy.
He has made 32 appearances in all competitions and has been offered terms to stay with Paul Fairclough's side.
Harrison has also been handed a deal to remain with The Bees after rejoining the club from Peterborough United last year.
The goalkeeper has made 30 appearances this season and performed well in the absence of the injured Ross Flitney.