(Stevenage win 2-1 on aggregate)
Dino Maamria's header sent Stevenage into the Conference play-off final and denied Hereford the chance of a return to the Football League.
Maamria also grabbed the late equaliser in the semi-final first leg.
Borough goalkeeper Alan Julian made fine saves from Robert Purdie and Craig Stanley in the first half.
And Stevenage pressure was rewarded in the 68th minute when Maamria nodded in after Anthony Elding's fierce shot was pushed on to the bar by Craig Mawson.
Hereford: Mawson, Green, Mkandawire, Tretton, Robinson, Daniel Williams (Leroy Williams 73), Hyde (Travis 87), Stanley, Purdie, Carey-Bertram, Stansfield.
Subs Not Used: James, Pitman, Scott.
Booked: Tretton, Green.
Stevenage: Julian, Warner, Goodliffe, Henry, Laker (Boyd 61), Brady, Maamria, Bulman, Gregory, Elding, Stamp (Nurse 65).
Subs Not Used: Westhead, Quinn, Hocking.
Booked: Elding, Goodliffe, Nurse.
Goals: Maamria 69.
Ref: G Sutton (Lincolnshire).