But under the Government's plans the United Kingdom would be free to diverge from EU rules over services, a major part of the British economy, with ministers acknowledging this will reduce the levels of access available to European markets.
"Today in detailed discussions the cabinet has agreed our collective position for the future of our negotiations with the EU", May said in a statement.
A new UK-EU free trade area for goods will be created under Brexit plans agreed by Theresa May and her ministers at Chequers.
Mrs May said she hoped the proposals would allow for talks with the European Union to move forward after months of stalling from both sides.
That fear was felt so strongly that Brexit campaigner and foreign minister Boris Johnson convened a crisis meeting of like-minded colleagues late on Thursday to discuss strategy to counter May's plan.
After nearly 12 hours of talks at Chequers, the prime minister's country retreat, May said that "the Cabinet has agreed our collective position for the future of our negotiations with the EU" - a pronouncement akin to the British government equivalent of white smoke from the Vatican announcing the election of a new pope.
"As a result, we avoid friction in terms of trade, which protects jobs and livelihoods, as well as meeting our commitments in Northern Ireland". Carolyn Fairbairn, head of the Confederation of British Industry, said the agreement was "a genuine confidence boost".
Alignment on goods could reduce the UK's flexibility to strike trade deals with other countries, particularly the United States which would want an agreement allowing its farm products, produced to different standards, into the British market.
Shadow Brexit secretary Sir Keir Starmer said: "It is farcical that it has taken two years for the Cabinet to even attempt to agree a position on the basics of our future relationship with the EU".
They may also have been reassured by May reiterating her belief that any agreement with the EU should end the jurisdiction of the European Court of Justice, although British courts would still have to "pay due regard" to its rulings.
'On previous form, whatever has apparently been agreed will struggle to survive contact with Tory MPs and members. Former U.K. Independence Party leader Nigel Farage said the proposal was "a sell-out to the global corporates".
Mrs May said the long-awaited Brexit negotiation white paper will be published next week, setting out more details of "how we will be taking back control of our money, laws and borders".
Business secretary Greg Clark welcomed the Brexit deal thrashed out by ministers at Chequers.
In a statement released late in the evening, she said the 26 cabinet members in attendance reached a "collective" agreement that would see the United Kingdom agree to negotiate a "common rulebook for all goods" in a combined customs territory.
Shadow global trade secretary Barry Gardiner said: "There is a danger that this is a lowest common denominator plan that has really been constructed to hold the Cabinet together rather than to secure the strong negotiating position that we need with the European Union, that will create jobs, that will create growth in our economy".
It was co-owned by the wife of a veteran fossil fuels lobbyist whose firm had sought regulatory rollbacks from EPA. The president tweeted that "Scott has done an outstanding job, and I will always be thankful to him for this".
Forcément! Après ce match mémorable contre l'Argentine (4-3), Didier Deschamps n'a pas tout bouleversé. Seul changement à noter dans l'entrejeu, avec Tolisso qui remplace poste pour poste Blaise Matuidi .
Will they lose anyone else in July? Then again, they might not be eager to pay Anderson what the Grizzlies are willing to. Kyle Anderson entered the summer as one of three restricted free agents from the San Antonio Spurs .
Now, a court in China has ruled in favor of UMC and threatened to stop the import and sale of chips made by Micron. It predicted this will not affect its outlook for the August-ending fiscal Q4 of $8 billion to $8.4 billion.
Russell also had an action-packed role in his Mission: Impossible III , and Abrams spoke at her Walk of Fame induction ceremony . Production on Episode IX will begin at the end of July with more cast announcements likely to be revealed before filming starts.
Even though the tariffs just kicked in, they were approved in back in March and have already managed to make a negative impact. Starting Friday, the USA will tax only 818 of the proposed Chinese products, which are worth about $34 billion a year.
Brazil chased an equaliser in the last 14 minutes of the match in the wake of substitute Renato Augusto's fine headed goal. Belgium coach Roberto Martinez said Brazil refused to accept that the five-time World Cup champions had more talent.
Hutchison was taken 22nd overall by Chicago in last month's NBA Draft, the highest selection in school history. The latest draft gems from the last two years come through to display a year's worth of improvement.
Trump's tweet triggered reaction from Iran , a founding member of OPEC , whose oil exports have been targeted by USA sanctions. The challenge from now on for OPEC and for oil producers is not to seek artificial price inflation, but to improve efficiency.
De Bruyne , sur coup franc, puis Kompany forçaient Alisson à la parade juste avant la pause sifflée sur ce sensationnel 0-2. Quelques minutes plus tard, l'attaquant de Manchester City a creusé l'écart d'une superbe frappe croisée (31e).
Brésil-Belgique: Les compos probables
Et je n'ai pas l'intention de parler des individualités dans ce match, les Belges ont été plus efficaces. En deuxième période , Augusto plaçait un bon coup de tête pour relancer la rencontre (76e, 1-2).
Charlotte Hornets to sign former San Antonio Spur Tony Parker
He was part of 137 playoff wins with Popovich, the second most by any coach and player in National Basketball Association history. Parker, 36, was drafted by the Spurs 28th overall in 2001 draft and has spent his entire professional career in San Antonio .
Melo and Thunder Will Part Ways This Summer
Carmelo Anthony didn't like his reduced role and the Thunder weren't keen on paying him big money to fail at it. Oklahoma City was busy this offseason, starting with free agent Paul George committing to stay with them.
Trudeau says women often see groping incidents differently
Trudeau also stressed that "it's not just one side that matters" in such cases and that society should reflect on this issue. It alleged he told the woman he would not have "been so forward" if he had known she was reporting for a national newspaper.
Mondial 2018 : la Belgique de De Bruyne sort le Brésil !
Sur un contre emmené par un Lukaku en mode taureau, De Bruyne finissait le travail d'une frappe croisée en force. Les Diables Rouges affronteront donc les Bleus mardi 10 juillet à Saint-Petersbourg, pour une place en finale.