Ferrari, currently placed second in the constructor's standings with 145 points behind leader Mercedes, is aiming to end its drought at Monza after nine unsuccessful years.
Valtteri Bottas put pen to paper a one-year contract with an extension option for 2020, which Mercedes have exercised.
Lewis Hamilton's win looked easy as he finished 18 seconds ahead of Mercedes teammate Valtteri Bottas and 19 seconds ahead of Ferrari's Charles Leclerc.
Sebastian Vettel had been given a five-second time penalty for an incident which happened with a little more than 20 laps to go and despite Vettel taking the checkered flag, that penalty gave Lewis Hamilton the win.
Niki Lauda, who died on May 20, had played a key role in bringing Hamilton to Mercedes in 2013 and the two had become close friends.
Niki Lauda won the F1 drivers' championship in 1975 and 1977 with Ferrari and again in 1984 with McLaren.
Earlier, Harry Shaw, from Surrey, sent Hamilton, a five-time Formula One World Champion, a good luck message on Instagram from his hospital bed.
Lewis Hamilton and teammate Valtteri Bottas completed their third straight double in Sunday's Chinese Grand Prix.
Mick, son of Formula One great Michael Schumacher, will make his F2 debut for the Prema team on Saturday and then drive in his first Formula One test for Ferrari on Tuesday.
Mercedes driver Valtteri Bottas had vowed to come back stronger this year after flopping for much of 2018.
Charlie Whiting died in Melbourne from a pulmonary embolism on Thursday, three days before the season-opening Australian Grand Prix.
Bottas competed with Hamilton on occasions last season but a mixture of bad luck, tentativeness and team orders saw him finish the year with seven second-place finishes and no wins.
McLaren launched its car for the 2019 Formula One (F1) season at its technology centre in Woking, England, as Carlos Sainz was on hand for the event.
Sebastian Vettel, Lewis Hamilton and Max Verstappen talked about babies, practice and lots more.
Leclerc will race alongside four-time world champion Sebastian Vettel in 2019 at Ferrari.
Sebastian Vettel led Hamilton by eight points after 10 of 21 races and 4-3 in wins, only to lose by 88 points overall and 11-5 in races won.
Lewis Hamilton said that he loves India and the culture of the country and whatever he had said earlier was not to demean the country.
Robert Kubica said he will be racing for the Williams team next year, a remarkable comeback considering he almost lost his right hand in a rally accident in 2011.
Kubica's career is finally back on track as he will be joining English driver George Russell with Williams Martini in the team's line-up for 2019.
Five-time Formula One champion Lewis Hamilton had earlier said that he felt conflicted while racing in India.
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