Egypt's Armed Forces Supreme Council will run the country for the next six months, or until elections are held.
The move comes after Hosni Mubarak stepped down as president amid anti-government protests which lasted more than two weeks.
BBC News website readers in Egypt and outside of the capital, Cairo, have been reflecting on how life is returning to normal and what has changed after the political upheaval.
Mohamed Rashad, Alexandria
There is a huge sense of joy and happiness among the people of Alexandria.
Last Friday I was with the demonstrators who marched to the presidential palace at Ras-El-Tin. I can't explain how happy we all were.
That day it took me a couple of hours to get home because the streets were so crowded with people celebrating.
On Saturday there was another celebratory march to celebrate Mubarak stepping down.
Things are much calmer outside now - most people have gone back to work. Only the schools remain closed until everyone is sure that things are back to normal - they will probably reopen next week. The curfew is later than usual and now starts at midnight.
I'm happy with the army being in control - I think they will keep their promises and things will go the normal way to democracy.
Isaac William, El Minya
It is very quiet here at the moment - everyone is very happy.
People here have a new sense of purpose - they feel that this is our country and that we are free.
Before, we felt like we were strangers in our own country. Even the tourists were given more importance than us.
I have a business in Sharm el-Sheikh - I run two shops, but I came to El Minia until everything calmed down.
The protests have been bad for business, but I hear that a lot of companies are planning to send even more tourists than before. I think tourism will improve, day-by-day.
I am looking forward to the elections - we will vote for who we want and we will choose the right man - not a religious man, someone liberal.
The army is very polite and nice to us, so I'm not worried about them - they are not dangerous. They are our brothers.
Sirwin Balder, Sharm-El-Sheikh
I'm feeling relaxed now that Mubarak has stepped down - at least the first hurdle is now over.
There was such disappointment when people expected his resignation and it didn't come. We couldn't get back to business here because everyone was waiting for it all to be over.
A lot of my friends have gone back to their homes because there is no business here - the hotels couldn't pay for them. I know of six or seven hotels which have shut down since the protests started.
I have also been losing income - people renting my apartments had cancelled bookings. However in the last couple of days people have been approaching me to rent apartments - albeit at a discount. Now the rents seem almost to be going back to normal again. This is how fast things are changing here.
The main problem we have at the moment is the lack of tourists. It is very quiet in town - there is no traffic.
The other thing I've been hearing about is employees asking for higher wages. In our local supermarket the staff said they wouldn't work unless their salaries were raised. I think this is a sign of people feeling like they are entitled to ask for more.
There's definitely a sense of change in the air. At the moment, most people here seem to be really happy, although at the moment everyone needs work and money.