Rosberg's victory in Suzuka, and Hamilton's podium, gave the Silver Arrows an unassailable lead in this year's constructors' fight - prompting celebrations at the team's UK factories in Brackley and Brixworth.
"I've been here since day one of this project in 2010 and it's really phenomenal the journey we've taken together towards being the best team in Formula One, making history along the way and re-writing the record books," said Rosberg, who leads Hamilton by 33 points in the drivers' standings.
"What we've achieved together is mind-blowing and I'm really, really proud to have played my small part in that. Thanks to all of these people, our job as drivers is even more enjoyable out there, which is saying something!
"I can't wait for the final four races to go out there and give it my all. It's going to be an intense battle between Lewis and myself and I hope everyone at Brackley and Brixworth can enjoy it a bit more now from the edge of their seats!"
Hamilton, who faces an uphill battle to defend his 2015 drivers' crown, added: "I tell you what, it never gets old being up here, seeing all of these faces. What a joy it's been, being part of this team.
"I'm incredibly proud to drive the cars that all of these guys and girls have built. Each of the past three years, Nico and I have without doubt had not just the best cars on the grid but the best cars we've ever driven.
"It's humbling to represent them all out there on track and I'm excited about going for a fourth together next year and hopefully many more beyond that. But, for now, it's important that we all cherish this moment because together we have created history.
"As drivers, we're just one small link in the chain. We owe all of them so much."
Toto Wolff, head of Mercedes-Benz Motorsport, hailed the efforts of the team, saying such success is made all the more remarkable given it has been sustained over three years.
"It's really a great achievement what we have done in the last three years," he said. "I met Ross Brawn a few weeks ago. We had a coffee and he told me that what makes him so proud of this organisation is that we could easily have dropped the ball. But all of us, together, have kept that ball up for three years in a row now - and that's quite an achievement.
"It's a great honour to work with all of these guys and girls. All of them are pushing each other to new levels. Just when we think the car can't go any faster, somehow we find another tenth of a second and it blows us away every time."
Since the advent of the current turbo-hybrid era in 2014, Mercedes have taken pole from 52 of the 55 Grands Prix. This year they have taken 15 wins, 16 poles and 25 podiums from 17 races, leading more than 80 percent of raced laps in the process.