The German roared around the twisty Hungaroring circuit in one minute 19.882 seconds.
Michael Schumacher won the San Marino Grand Prix for his and Ferrari's first victory of the F1 season
'The beginning of the European season should coincide with the start of our drive for the world title,' said the seven-time world champion.
Barrichello took the chequered flag for the first time since last season's final race in Japan, a mere 1.3 seconds ahead of team mate Michael Schumacher.
The Mercedes driver, with a record 94 wins, is the most successful Formula One driver of all time. The following details his progression to the 2020 title.
Ferrari's technical director said the rule changes made it difficult for his team to win this year.
Despite the determination of McLaren, Williams and Renault, Ferrari are still hungry.
Hamilton will be out of contract at the end of next season.
Rediff's Formula One fanatics in a chat after the Melbourne Grand Prix.
The German, who failed to finish in Melbourne last year after colliding with the Williams of compatriot Nick Heidfeld, has won four of the last six Australian Grands Prix.
The seven-time world champions says he is happy with his start to the Formula One season and expects Ferrari to be even quicker in Australia next week.
New signing Michael Owen will prove to be a valuable addition to Real Madrid's squad, defender Roberto Carlos claimed on Sunday.
The Ferrari driver feels far more confident about the new Formula One season than he did last year.
Ferrari showed off their 2020 Formula One car with a theatrical show of pride and passion on Tuesday, assuring success-starved fans that it was also very different under the skin to last year's model. The SF1000, marking the Italian team's 1,000th race that comes up this year, is the car Ferrari hope can end six years of Mercedes domination and dash Lewis Hamilton's bid to equal Michael Schumacher's record seven titles.
Sebastian Vettel is Ferrari's first choice to partner Charles Leclerc next year, team boss Mattia Binotto said on Tuesday, despite speculation that they want six times world champion Lewis Hamilton. The 32-year-old German had a difficult and disappointing 2019 season, outperformed by Leclerc in the young Monegasque's first year at Ferrari, and is out of contract at the end of 2020. Hamilton is in a similar position with Formula One champions Mercedes, although the Briton is expected to stay, and met Ferrari chairman John Elkann last year.
Ralf Schumacher said his brother was too far behind F1 leader Fernando Alonso to stake a claim for the championship this year
Ferrari's Michael Schumacher has warned rivals not to write off his Formula One championship challenge despite the team's lack of success so far.
The Ferrari driver believes Sunday's Spanish Grand Prix will not be the same without the excluded BAR team and Jenson Button.
The Renault driver held off a strong challenge from seven-time world champion Michael Schumacher.
Narain Karthikeyan finished 17th in the first qualifying round at the San Marino Grand Prix