At the same venue where he claimed his first-ever Formula One triumph, Button's confidence was dampened despite being third on the starting grid, and put in an excellent race to pip Sebastian Vettel to the chequered flag.
And speaking after the race, Button was quick to credit his pit crew for helping him negotiate the rainy conditions that plagued Hungaroring on Sunday.
"I want to say a big, big thank you to the team today [Sunday].
"The car worked a treat in all conditions, and we made all the right strategy calls.
"We deserved this win and it felt great to stand alongside my race engineer Dave [Robson] on the occasion of his first appearance on the podium.
Although it has long been suggested that Button and Hamilton have a fractitious relationship, the 30-year-old showed no signs of any contempt for his team-mate by claiming they had enjoyed a friendly battle on Sunday.
"The race was a brilliantly eventful one. I had a good battle with Lewis when we were running one-two. We were both driving on the limit and the gap ebbed and flowed, depending on the traffic.
"It was good fun and I was sorry that we weren't standing up there on the podium together at the end of it all.
"This was the perfect way to celebrate my 200th Grand Prix, and the team can enter the summer break with a spring in its step.
We know we have a good car, so let's enjoy our holidays and come back even stronger at Spa-Francorchamps. I'm excited about that race already."
Hamilton himself was quick to congratulate Button for marking his milestone race with what he called a 'deserved' win.
"Big congratulations to Jenson. He pushed me hard and he deserved to win the race. I felt sorry for the team that we didn't get a one-two, but at least one of us got the victory. The car felt very good to drive today [Sunday].
"I think the cooler conditions helped us, but the team has done a fantastic job to get us where we are. We've now won two races in the space of a week, which is a great way to enter the summer break. I'm disappointed in myself for spinning."
Hamilton however had a black mark to his race when a spot of dangerous driving caused Force India's Paul di Resta to go off track, nearly ruining his prospects for a points finish, although the young Scot did eventually manage to finish seventh.
While he has been defensive over previous accusations of dangerous driving, Hamilton freely admitted the incident at Hungaroring was clearly his fault.
"I had to do a doughnut to get myself facing the right way and that forced Paul [di Resta] onto the grass, which is why I got the drive-through penalty. I've apologised to Paul and I'll put the penalty behind me and move on to the next race."