A match at Spurs was called off because of an outbreak.
New measures agreed on Tuesday will require players and club staff to take a test every day in order to get into training grounds.
The rising number of positive cases is the reason for the action.
There were a record 42 positives over the previous seven days.
It is the highest figure recorded since Covid testing began.
The most positive tests returned in a week was 16 from 16-22 August, when there were 3,060 tests.
The postponement of two league games within the space of three days has been caused by the outbreak at Manchester United.
The players and staff will now have a test at least twice a week, which was the case last season, before the test was changed to a different type of test.
The players who tested positive with a rapid test then took a test for confirmation of their result.
The measures are expected to be implemented quickly, with additional mask wearing, limiting of physical treatment and social distance also being advised to reduce the risk of further cases.
The fixture guide for the festive season.
Last week, after the introduction of new coronaviruses in England, the premier league told clubs to return to emergency measures.
Paul Barber, the chief executive of the Seagulls, told the radio station that his club is testing for infections three times a week to try and limit the number of infections that are spread from one player to another.
Fans will need to show proof of double vaccinations or negative tests to attend sporting events with large crowds in England. The games include the premier league.
Fans will need a pass to attend games.
Which clubs have the Covid-19 outbreak?
The outbreak that resulted in the postponement of the Seagulls' match against Bournemouth was the reason for the cancellation of the Spurs' match against Rennes.
A number of players fromLeicester did not travel to Italy for their game against Napoli because of positive Covid-19 tests.
The game between United and Brentford was postponed on Monday after the club closed their training ground for 24 hours to reduce the risk of transmission.
A couple of staff members and a couple of players have tested positive, but the majority of them were not.
The Canaries' game against them on Tuesday is not in doubt, even though one of their players was isolating, and Dean Smith said the rest of the squad had tested negative on Sunday.
Graham Potter says there are three or four positive cases.
An outbreak in the Queens Park Rangers squad has forced the postponement of the match between the two teams on Monday.
What are the thoughts of the managers?
Before the postponement, Thomas Frank and Mikel Arteta both called for more clarity from the league over fixture changes because of Covid-19.
The manager of Manchester City said he encourages his players to get a vaccine booster. Wear masks and stay healthy.
Sean Dyche said he doesn't preach to the players on vaccines, but Smith said the Canaries are highly vaccineed.
Dyche said that they have players who don't have the full vaccine. I think it's right for everyone to have a choice, I have all three of them.
What are the rules for watching a game in the premier league?
Fans will have to show proof of double vaccination or a negative test to attend sporting events in England after the government introduced 'Plan B' to fight the spread of the Omicron variant.
In order to make Covid passes mandatory, several of the premier league clubs have conducted spot checks on fans.
Seagulls chief executive Paul Barber said he hoped that fans followed new measures and that there would be no return of restrictions on numbers attending games.
The supporters would have to complete an online declaration and wear masks inside the stadium.
It seems a small price to pay for keeping the public safe, protecting the health service and keeping the stadium open, according to Barber.
It is possible that it will take longer to get in because the government expects us to carry out more random checking.