Many of Paris's tourist attractions, including the Louvre and the Musee d'Orsay, closed on Saturday amid heightened security.
The institutions reopened at 13:00 local time following a minute's silence to honour those who were killed.
However the Eiffel Tower will remain closed until further notice.
A message on the tower's website added "the Eiffel Tower will not sparkle" on Monday night, during the period of national mourning, at the request of Paris Mayor Anne Hidalgo.
A total of 129 people died in the attacks by Islamist militants.
People were targeted in bars and restaurants, the Bataclan concert hall and the Stade de France.
In explaining the decision to reopen the venues, French Culture Minister Fleur Pellerin said although France had suffered a tragic event, "culture is more than ever this symbolic place of self-discovery".
Ms Pellerin added the government would help to boost security measures at public cultural institutions in Ile-de-France, the region immediately surrounding Paris.
Its landmarks include the Louvre, which houses Leonardo da Vinci's Mona Lisa painting, as well as the Eiffel Tower and the Notre Dame Cathedral.
Eighty-nine people died at the Bataclan venue, where US rock band Eagles of Death Metal had been performing.
Many concerts scheduled to take place in Paris over the weekend, including those by U2, Motorhead, Foo Fighters and Deftones, were also cancelled.
Cinemas were also ordered to close following Friday's attacks, but most reopened on Sunday.

The exhibition, From Dark to Light, explores the work of artist Victor Noble Rainbird, who was born in North Shields in 1887.
The largest collection to have been staged since the 1930s, his favourite subjects were the North Sea and the streets and people of his hometown.
Curator Dave Young said there was a lot of affection for him in the town.
Many of the pieces on display at The Old Low Light Heritage Centre in North Shields have never been seen in public before.
Mr Young, said: "We hope that this exhibition will shed new light on the life and work of a remarkable man and also a much misunderstood artist.
"This is the first major exhibition of his paintings to be held in his hometown of North Shields since the artist's lifetime and it is being held in a building that he would have known well and often painted.
"Victor Noble Rainbird's paintings are a fascinating legacy of life in the North East before and after the Great War, while his own remarkable war record is only now being unravelled."
Mr Rainbird joined the Northumberland Fusiliers in 1914 when he was 26-years-old and served on the Western Front at Ypres, Passchendaele, Vimy Ridge and Armentieres.
Some of the drawings he produced while on active service have survived and are included in the exhibition.
Mr Young said they were a "poignant, important and sombre record of the horrors of war".
After the war, Rainbird made several return trips to France, Belgium and the Netherlands, producing some of his most impressive works.
He died aged 47 in 1936.
From Dark to Light: exploring the life and art of Victor Noble Rainbird is on display at The Old Low Light Heritage Centre from 10 July to 6 September.

Panthers kept alive their title hopes and closed the gap on leaders Devils to four points.
Two goals from Matthew Myers put Panthers in control before Joey Martin replied.
Franklin MacDonald, Geoff Waugh and Evan Mosey's two goals secured the win.
The sides meet again in the Challenge Cup final at the Sheffield Arena on Sunday.
Public museums and other cultural venues in Paris have reopened following the attacks in the French capital on Friday.
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A collection of paintings capturing the landscapes and legacy of life on the North East coast is going on display.
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Cardiff Devils lost 6-1 away to Nottingham Panthers in the Elite League, less than 48 hours before playing the same opposition in the Challenge Cup final.