Button is revelling in his latest fight for the Formula One world title and has warned his rivals “there is more to come”.
But back-to-back one-two finishes means there are just three points separating the duo at the top of the drivers’ standings, and with McLaren 22 points clear of Red Bull in the constructors’ table.
No-one could have envisaged that being the case prior to the race in Istanbul just over a fortnight ago, least of all Button who is happy enough with second in the championship and being on the tail of Hamilton.
“If you had told me before Turkey we would be in our position now, it would have been quite hard to believe,” said reigning champion Button, speaking to Press Association Sport.
“That is because at every race the Red Bulls have been quick, but then it’s been a very mixed season so far, with different people at the front.
“But with two one-two finishes, yes, I’d have been surprised.
“Naturally, with those one-twos, I’d rather have been in front, but I haven’t been, yet I’ve still picked up some really good points.
“We’re eight races in and there are just three points between us, so it’s looking fantastic.
“To have won the world championship last year, to have moved teams, and now be racing alongside Lewis and fighting for the championship again, is a great feeling for me.
“I’ve had a good season so far, but there’s more to come.”
Button was able to temper his disappointment at finishing second to Hamilton again by the fact the 25-year-old had one of those superb weekends when he was simply “on it” at one of his favourite tracks.
“In qualifying he was quick. I couldn’t get near him in Q3,” added Button.
“He is quick anyway, but on that circuit he is a specialist, yet for me the race was a bloody great one.
“To finish just behind Lewis after starting from fourth, I was really happy with that.”
Hamilton admits he has had to be at his best all season to eke out the slender lead he now possesses, and knows if he is to claim his second world title there can be no let-up in his performance.
“In past years there have been different demands, such as in 2007 when traction control made things a little easier,” said Hamilton.
“Back then there were also only three drivers to compete against, but now there are a good, strong six or seven.
“It is phenomenal how competitive it is this year, and you have to be at your best at all times, and I love that.
“Before you had to be good. You could be good and get away with it, but now you have to be at your best to be ahead of these guys.”