Ceremonies continued through lunchtime and broke until Thursday morning, when the new national leadership is expected to be officially announced on the anniversary of the defeat of USA -backed invaders at the Bay of Pigs in 1961.
Three of the nominees would be returning to the council.
The first vice president will be Salvador Valdes Mesa, who at 72 is between the two generations.
The new vice presidents would be Ines Maria Chapman, Beatriz Jhonson Urrutia and Roberto Tomas Morales Ojeda, who is now the health minister.
The Cuban government on Wednesday selected 57-year-old First Vice President Miguel Mario Diaz-Canel Bermudez as the sole candidate to succeed President Raul Castro in a transition aimed at ensuring that the country's single-party system outlasts the aging revolutionaries who created it.
Cuban experts have described Diaz-Canel as a "party ideologue" and "pragmatist" who is not expected to push for dramatic political change.
"We're building a relationship between the government and the people here", he said then after casting a ballot for members of the National Assembly.
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Cuban lawmakers were set to start a two-day session on Wednesday to name the first non-Castro President in more than 40 years.
A session of the National Assembly takes place in Havana, in this handout photo released to Reuters on April 18, 2018. She entered politics when she was 16.
Fidel died in 2016 and Raul, who turns 87 in June, has announced that he will step aside as president this month - though he plans to remain in what is probably a more important position: head of Cuba's lone permitted party, the Communist Party.
Diaz-Canel should "increase the speed of change in Cuba while preserving the good things", said blogger Harold Cardenas, 32, adding that resistance from within the party to Castro's economic reforms had held the country back. One thing is certain, he'll become president at a time when Cuba faces a serious economic crisis, compounded by the dwindling subsidies from Venezuela, the continuation of U.S. embargos, and major income inequality. It's an apparent effort to convey the message that the Cubans shouldn't expect radical change when a new president is announced on Thursday.
At a national level, Diaz-Canel called for more critical coverage of events in state-run media, and broader internet access to open one of the world's least web-connected societies. Few Cubans use Twitter and the vast majority of the country relies on TV for news.
The men who have run Cuba for almost six decades began life in a remote, rural part of the island known as Biran, sons of a wealthy farmer. The white-haired, generally unsmiling Diaz-Canel had been seen at greatest length in a leaked video of a Communist Party meeting where he somberly pledged to shutter some independent media and labeled some European embassies as outposts of foreign subversion. Castro is leaving after serving two five-year terms.