After pipping Ferrari's Sebastian Vettel with a lap of one minute 23.599 seconds in the first practice, the Briton shaved almost a second in FP2, his quickest lap clocked at 1:22.60.
Ferrari's five times world champion that the first half of the season had shown how hard it was to make predictions.
Fernando Alonso passed a final medical examination on Thursday and will be able to participate in the Malaysian Grand Prix this weekend after the Spaniard missed the Formula One season-opener in Australia due to concussion.
Hamilton has won half of the season's 20 races so far, propelling his team to an unprecedented sixth successive title double, but Brazil was a disappointing weekend with Valtteri Bottas retiring.
Hamilton held on for fourth, but slipped from 18 to 32 points behind Verstappen in the championship standings.
Nico Rosberg drew first blood for Mercedes in the new Formula One season with a dominant Australian Grand Prix victory on Sunday after pole-sitter Lewis Hamilton and world champion Sebastian Vettel retired with reliability problems.
Max Verstappen put his Red Bull on pole position for the Austrian Grand Prix
Ferrari's Charles Leclerc claimed his second win of the Formula One season with a thumping, pole-to-flag victory at the Australian Grand Prix on Sunday as Red Bull's world champion Max Verstappen suffered "deja vu" with another retirement.
Charles Leclerc seized the first pole position of his Formula One career on Saturday with Ferrari team mate Sebastian Vettel second fastest to lock out the front row for the Bahrain Grand Prix.
Jules Bianchi's accident in Sunday's Japanese Grand Prix has prompted questions over whether the Formula One race should have been started earlier to beat deteriorating weather conditions.
Hamilton decided to take matters into his own hands and pass several cars ahead of him, without gaining anything as Verstappen's time stood the test.
Williams driver Felipe Massa has revealed that he considered quitting Formula One after Marussia driver Jules Bianchi's 160 miles-per-hour horror accident during the Japanese Grand Prix.
Nico Rosberg crossed the line a mammoth 37.7 seconds ahead of German compatriot Sebastian Vettel, who recovered after colliding with his Ferrari team mate Kimi Raikkonen at the first corner, to claim his third win from three races this season.
Mercedes opened their Formula One season by dominating practice at the Australian Grand Prix on Friday, with Nico Rosberg edging his world champion team mate Lewis Hamilton in both sessions at Albert Park.
Ferrari's Sebastian Vettel won the Bahrain Grand Prix to go seven points clear at the top of the Formula One standings on Sunday, with Mercedes rival Lewis Hamilton staging a late charge to finish second.
Red Bull's quadruple World champion Sebastian Vettel won the US Grand Prix on Sunday to become the first Formula One driver to take eight consecutive victories in a single season. Starting from pole, the 26-year-old German was again in a class of his own, taking the chequered flag 6.2 seconds clear of Frenchman Romain Grosjean in a Lotus.
Germany's Nico Rosberg won the Italian Grand Prix for dominant Mercedes on Sunday to cut teammate Lewis Hamilton's Formula One world championship lead to two points with seven races remaining.
Lewis Hamilton won a thrilling Italian Grand Prix for Mercedes on Sunday to stretch his championship lead to 30 points over Ferrari's Sebastian Vettel, who fought back to fourth after a first lap spin.
Fernando Alonso would be top of the list for Mercedes if Formula One champion Lewis Hamilton fails to agree a new deal with the team beyond this year.
Mexican Sergio Perez will stay at Force India next year for a fourth straight season, the Silverstone-based Formula One team announced after Sunday's Malaysian Grand Prix.
Formula One said a tribute was in the works, with details to be confirmed. A minute's silence is likely before the race.
World championship leader Nico Rosberg ended the opening day of practice for the Formula One Japanese Grand Prix in a strong position after setting the pace in both sessions on Friday.
With all sporting activities around the world coming to a complete half, Roger Federer devised an unqiue training method to pass his time at home.
Sergio Perez expects to have his Formula One future decided before next month's Malaysian Grand Prix and said on Thursday that he is currently weighing up two options.
Champions Mercedes are chasing a sixth successive double, and Lewis Hamilton his sixth drivers' title, but the task looks tougher than ever.
Button said he was confident the team would overcome its "current difficulties" to achieve great successes in the future.
The triple champion, who started the race from a record 69th career pole position, led Finnish team mate Valtteri Bottas to a runaway one-two finish in front of the massed ranks of red-shirted Ferrari fans.
A summary of sports events and persons who made news on Tuesday
Formula One legend, Niki Lauda, thinks it's going to be a tighter fight between them, because the latter wants to make sure now he can beat the Briton.
Sahara Force India made a promising start to the 2017 Formula One season with a double points finish through Sergio Perez and Esteban Ocon at the Australian Grand Prix in Melbourne, on Sunday.
Lewis Hamilton and the FIA were in a standoff at this month's Miami Grand Prix over piercings
Nico Rosberg won the Austrian Formula One Grand Prix in a Mercedes one-two finish on Sunday to stretch his championship lead over team mate Lewis Hamilton to 29 points after eight races.
Britain's Lewis Hamilton eased his Mercedes to a dominant victory in the German Formula One Grand Prix on Sunday and secured his fourth victory in a row.
A summary of sports events and persons who made news on Thursday
Germany's Nico Rosberg put Mercedes on pole position for the US Formula One Grand Prix on Saturday with championship leading team mate Lewis Hamilton qualifying second. Mercedes-powered Williams filled the second row with Finland's Valtteri Bottas third fastest and Brazilian Felipe Massa fourth.
Lewis Hamilton led a Mercedes 1-2 at the top of the timesheets for the first free practice session at the season-opening Australian Grand Prix on Friday, while McLaren's hopes of a clean start were tempered by reliability issues.
Lewis Hamilton won a dramatic Russian Formula One Grand Prix on Sunday to take a huge step towards his third world championship after Mercedes teammate Nico Rosberg retired with throttle failure.
Red Bull's Max Verstappen celebrated his first Formula One pole position at the Hungarian Grand Prix on Saturday.
Ferrari's Sebastian Vettel was fastest in Formula One's pre-season testing at a chilly Circuit de Catalunya on Tuesday while Mercedes rival Lewis Hamilton took one for the team and "sacrificed" his scheduled stint.