The Swansea outfit ran out 22-11 winners, largely thanks to Dan Biggar who kicked six from six from the tee for 17 points, and also had a hand in Tyler Ardron's try.
Richie Rees rumbled over with ten minutes to play for Newport, but Jones' side could not force their way back into the contest and the former Wales international insists game management was the difference between the sides.
"We are disappointed we didn't win," he told WalesOnline. "The Ospreys have a simple game plan. It's about creating pressure on teams and we failed to deal with that.
"Three unforced errors just before half-time led to 10 points and that was the difference at the end of the game.
"We needed to match the Ospreys' kicking game and we failed to do that. Rhys Webb and Dan Biggar were faultless in their performances again and ran the game effectively and accurately.
"We've come back into the changing room and realised there's nothing really between those two sides out there apart from a little bit of game management, which the Ospreys are getting right and is not in our culture at the moment.
"But we are not down-hearted. We came down here last year and got tonked. We competed here this time.
"It's about managing a game and the Ospreys managed it a little better than we did."
Follow us on Facebook, join the conversation on Twitter, sign up to our YouTube channel for extensive match highlights and sign up for our newsletter for regular updates on the GUINNESS PRO12
To see highlights of Newport Gwent Dragons' clash with Ospreys, click here.
Guinness PRO12
Suite 208, Alexandra House,
The Sweepstakes
Ballsbridge, Dublin 4, Ireland