The Seagulls led 18-16 at the break but the visitor then surged to a 28-18 lead.
Nat Barnes scored for Tweed Heads with five minutes remaining to ensure a tense finish but the Falcons held on to record their second win in a row.
The wooden spoon side for the past two seasons after breaking a link with Manly, the Falcons this year forged a link with another NRL side, Melbourne.
While the Falcons and fringe Storm players took some games to gel, it now seems as though the relationship is starting to reap rewards.
More in Monday's edition of the Sunshine Coast Daily.
Courtesy of Steele Taylor of Sunshine Coast Daily