Ivan Cleary's side looked to have wrapped up the game when they raced into a 34-18 lead midway through the second half with tries from Dean Whare, Kevin Naiqama and Lewis Brown but the Broncos started their fightback when Jack Reed and Daniel Vidot crossed the line.
The Panthers earlier raced into an early lead following a horror start by the Broncos.
Two straight penalties against the visitors handed Penrith excellent field position and Elijah Taylor scored from close range after Jamal Idris batted a Soward kick into his hands.
Parker then booted the kick-off out on the full to hand the ball straight back to the Panthers on halfway and Soward's pass found Moylan who sidestepped his way over the line.
However, the Broncos struck back well with unanswered tries scored by Dale Copley, Justin Hodges and Jake Granville with Parker adding the extras for all three.
But on the stroke of halftime Kevin Naiqama finished off a wonderful move started by a Moylan break with Soward then producing a magnificent no-look flick pass for the winger to score.
Penrith coach Ivan Cleary was full of praise for Moylan, who had an outstanding all-round performance, despite a missed tackle that led to Brisbane's late try.
"I was really happy for Matty as he probably didn't come up with his best play of the night when Hodgo chipped over the top to score a try and level it up," Cleary said.
"That's two games where he's won for us, one with a kick from the sideline earlier in the season and now this one".
However, Cleary said he feared Peachey could face a long spell on the sidelines after suffering a suspected ruptured pectoral muscle.
"It doesn't look good, it's not good news. Josh (Mansour) we hope isn't too bad and will have scans on his ankle tomorrow," said Cleary.
Broncos coach Anthony Griffin said his side's poor start to the first and second half proved to be their undoing as they slumped to a second successive loss to leave them in seventh.
"We did the damage to ourselves long before the finish," he said.
"At the start of the first half and the second we were disappointing and were chasing our tail all game.
"When possession was with us we had heaps of momentum but when it wasn't we weren't prepared to work and leaked too many soft tries.
"That was the story of the night, it was real loose game and we contributed to that.
"We fought back but we should never have been in that position. We're better than that and have to be better than that."
- AAP
