However, not all attendees at the "Oscars of the East Coast" party are strictly adhering to the chosen theme.
The annual gala brings in millions for the museum's Costume Institute.
Last year, A-listers from film, music, sports and fashion were asked to dress to the theme of Chinese influences on western fashion - with varying success.
This year, the exhibit is "Manus x Machina: Fashion in an Age of Technology."
The chairwoman of the invitation-only extravaganza is American Vogue editor Anna Wintour, who has been organising the gala for nearly 20 years.
This year, tickets cost $30,000 (Â£20,456) per person - but despite the prices it is one of the hardest parties to get in to.
Privacy of the guests is intensely guarded, and posting on social media after they have walked the red carpet and entered the event has been banned since last year.
Last year, more than $12m was raised for the museum's Costume Institute.

The Austrian first became a shareholder in Williams in 2009 but has been slowly reducing his links since the start of his involvement with Mercedes in 2013.
Wolff's shares, a little under 5%, have been bought by US businessman Brad Hollinger, whose stake rises to 15%.
Healthcare entrepreneur Hollinger first bought into the team in 2014 but has no formal management role at this stage.
However, he said that he would be "happy to participate in any way they see fit".
And Williams chief executive officer Mike O'Driscoll said the team "would be delighted if he could make a greater contribution to our business in the future".
Wolff, who agreed with Mercedes when he became its F1 boss that he would work towards ending his involvement with Williams, said: "I am surprised how emotional I am about this day, to be cutting my final business ties to [team founder] Sir Frank Williams and to the team at Williams.
"Having entered the team from a pure investment perspective, I soon found myself in a much more active role, helping to restructure this great independent F1 team.
"I am proud to have joined the sport with a team of true passionate racers, where we had to make spot-on decisions for the future of the business and its employees; I learned some lessons the hard way, but they were all valuable for understanding the industry."
Sir Frank Williams remains the majority shareholder in his team with 52% of the stock; his co-founder Sir Patrick Head holds about 9%, with just under 21% listed on the Frankfurt Stock Exchange and 4% held by an employee trust.
Wolff added: "I look back with pride on the first ever IPO (initial public offering) of an F1 team in Frankfurt, and can see the next generation of the Williams family leading the team into a bright future."
Sir Frank Williams said: "Given his role at Mercedes-Benz, a full divestment in Toto's shareholding became inevitable and we thank him for this judiciousness in only selling to a suitable buyer when the time was right.
"In Brad Hollinger, Toto has sold his full shareholding to a highly successful businessman with an immense passion for Formula 1 and our team - he is a great asset."

The news came after US equity firm Blackstone said it was selling a Sydney office building to the group for A$415m ($327m; £218m).
Gold Fields House is in the city's prime central business district and overlooks the Sydney Harbour.
The firm said it plans to build a luxury hotel as well as residential and retail outlets in the area.
"We look forward to creating a new Sydney landmark," said Dalian Wanda in a statement on Monday.
Wanda group is backed by Chinese billionaire Wang Jianlin and is the country's largest property conglomerate.
The recent announcement is the latest in a series of international acquisitions for the Chinese firm.
It has already agreed to invest nearly $2bn in London and Madrid hotels and properties in the last two years, according to Reuters.
Last week, Wanda said it was buying a 20% stake in Spanish football club Atletico Madrid for €45m ($52m; £34m) - making it the first Chinese company to invest in a top European football club.
The group also owns US cinema chain AMC and luxury British yachtmaker Sunseeker.
Hong Kong listed shares of Dalian Wanda Commercial Properties were up 3.4% after the deal was announced.
Celebrities at New York's Metropolitan Museum of Art have gone metallic as this year's Met Ball celebrates the convergence of man and machine.
[NEXT_CONCEPT]
Mercedes Formula 1 boss Toto Wolff has sold off his remaining shareholding in the Williams team.
[NEXT_CONCEPT]
Chinese property giant Dalian Wanda is set to invest $1bn (£667m) in a development near Sydney Harbour.