Kiwi winger Watene-Zelezniak pounced in 12th minute after good link-up work between Moylan and Dean Whare to open the scoring.
Jennings, who is the younger brother of NSW and Australian centre Michael Jennings, then latched on to a cut-out pass from Soward 10 minutes before the break for a try on his NRL debut.
The hosts continued dominate after the restart with James Segeyaro outpacing the Bulldogs defence to score in the corner after classy back-rower Cartwright kept three Bulldogs players at bay to offload to the flying hooker.
Roared on by a big crowd the Panthers continued to press in attack and Watene-Zelezniak doubled his tally when he hauled in a Soward bomb and muscled his way past Curtis Rona.
The Bulldogs had struggled to get a foothold on the game throughout and bench forward Tim Browne's try off a James Graham try looked nothing more than a consolation.
But quickfire four-pointers from Rona and Brett Morris set up a grandstand finish as the Bulldogs tried desperately to take the game to golden point.
However, the Panthers' defence held firm on back-to-back sets to claim the two points.
- AAP