Johnson, in an interview, called for four conditions for Brexit: transition period must be a maximum of two years; United Kingdom must refuse to accept new European Union rules during that period; no payments for access to the single market after the end of the transition period; and United Kingdom must not agree to shadow European Union rules to gain access to the single market, BBC reported.
In an interview with The Sun he said: "I want people to be paid more".
He said: "There is no point coming out of the European Union and then remaining in a rotational orbit around it. You have to be able to have control of your regulatory framework".
Johnson spoke about the minimum wage to the newspaper, he said he supports May's initiative for workers to be given a pay rise however, May is raising the minimum wage to £9 per hour in 2020, Johnson said it is "not enough".
"Most people can't understand what this conversation is all about".
Mr Johnson's comments came ahead of the Conservative party conference which is due to start on Sunday.
China Resumes Coal Imports from N. Korea
USA experts said Beijing's coal imports in August highlight its unwillingness to stick to promises to cut trade with Pyongyang. August data shows China imported 1.6 million tonnes of North Korean coal-the largest monthly figure since February.
But he told the newspaper speculation about his leadership intentions had been "massively" overdone.
But Mr Johnson said it was right to stress the positives about Brexit.
Earlier this month, Mr Johnson set out a detailed vision for Brexit and revived the claim it could boost NHS coffers by £350million a week. It is unstoppable. Ain't no stopping us now.
Labour leader Jeremy Corbyn said the Foreign Secretary's stance threatened a trade war with the EU.
The demands fly in the face of Mrs May, who pledged only a week ago that there would be a "status quo" transition period which would last around two years. I can't imagine what it's like sitting around a table with their Brexit negotiating team because there are three or four people with three or four completely different opinions.
Theresa May waits at the EU Digital Summit in Tallinn.
"Senior Conservatives are displaying an abject failure to act together in the national interest and seem more motivated by selfish, personal ambition".