The new, revised accord will be submitted to Congress for approval, rather than put to another referendum, they added.
Last month voters taking part in that referendum surprisingly snubbed the first accord. Critics said it went too easy on the rebels, who have been waging what is now Latin America's last major insurgency.
“The government and Farc delegations have agreed to sign the final agreement to end the conflict and build a stable and lasting peace,” negotiators from both sides said in a statement Tuesday.
The new accord was first announced on November 12. The signing will take place at 11.00am (4.00pm GMT) at the Colon Theater in Bogota.
The accord will later be submitted to Congress for its approval, the two sides said.
“We are working out the procedures necessary for this,” they said.
The government holds a majority in the legislature.
President Juan Manuel Santos insists the new proposal is stronger and takes into account changes demanded by his political opponents.
However his chief rival, ex-president Alvaro Uribe, has rejected even the revised deal.
Uribe has insisted, for instance, that Farc leaders should not be allowed to run for office while still serving sentences for atrocities.
“Whether the entire (current) text is voted on, or just the issues that have been sensitive and where there has been no agreement, we ought to do it by national referendum,” Uribe said.
Santos's government is scheduled to present its revised peace deal in Congress on Wednesday to discuss its details.
Santos called on Tuesday for it to be implemented quickly.
A two-way ceasefire between the government and the Farc has been in force since August. But the sides have warned it is fragile.
“This limbo is increasing the risks,” Santos told reporters.
“It is urgent that we move to the second phase of regrouping the Farc” for their demobilisation, he said.
He spoke after an urgent meeting with top officials to tackle a recent wave of alleged political killings in southern Colombia.
Fears for the ceasefire had already risen last week when two Farc guerrillas were killed in what authorities said was a clash with the army.
Uribe has offered to meet with the Farc. But the force rejected that proposal, branding Uribe an obstacle to peace.
“Uribe misgoverned, corrupted and caused bloodshed in Colombia for eight years” when he was in office to 2010, said one of the Farc's commanders, Pablo Catatumbo, on Twitter.
“He has never wanted peace, only the defeat of the Farc, which he couldn't achieve.”
Political analyst Jorge Restrepo said it would be better if there were a consensus on Colombia on the new accord.
“But that is almost impossible to achieve” given the demands of Uribe's party, Restrepo said.
World news in pictures
World news in pictures
1/14 5 December 2016
The sun rises behind skyscrapers amidst the clouds on a foggy morning in Dubai
2/14 5 December 2016
An Iraqi soldier gestures as he steps on the head of the dead body of who Iraqi forces say was an Islamic State militant, in Shayyalah al-Imam near Mosul
3/14 5 December 2016
A man checks the damage at a medical clinic following overnight government air strikes on the town of Binnish, in Syria's northwestern Idlib province
4/14 5 December 2016
A quarantine official disinfects a road leading to a chicken farm in Pyeongtaek, west of Seoul, South Korea. A suspected case of avian influenza was reported at the farm
5/14 5 December 2016
Rescue workers stand beside the bodies of the victims following a fire at a local hotel, at a hospital in Karachi, Pakistan
6/14 5 December 2016
Iraqis ride bicycles between Baghdad's Abu Nawas street and the suspension bridge in the capital's Karrada district during an event calling for peace and the eradication of the Islamic State (IS) group
7/14 5 December 2016
Iraqis gather prior to cycling between Baghdad's Abu Nawas street and the suspension bridge in the capital's Karrada district during an event calling for peace and the eradication of the Islamic State (IS) group
8/14 5 December 2016
The bust of the late President Park Chung-hee is seen spray painted in a park in Seoul, South Korea. The bust was vandalized in an apparent anonymous act of discontent with his daughter and incumbent President Park Geun-hye who is suspected of having been involved in an unprecedented corruption scandal. The grafitti reads 'Order of Removal'
9/14 4 December 2016
Young people march around the Plaza de la Revolucion and chant 'Yo soy Fidel,' 'I am Fidel' in English, before the arrival of the remains of former Cuban President Fidel Castro during on their four-day journey across the country in Santiago de Cuba, Cuba
10/14 4 December 2016
The urn with the ashes of Cuban leader Fidel Castro leaves Revolution Square in Santiago, Cuba on its way to the cemetery
11/14 4 December 2016
A Honduran soldier confronts fans of Real Espana football team following clashes after Platense qualified for the Honduran Tournament final, outside the Municipal Excelsior stadium in Puerto Cortes, 260 kms north of Tegucigalpa
12/14 4 December 2016
People take part in a nation-wide protest against corruption at Copacabana beach in Rio de Janeiro, Brazil
13/14 4 December 2016
Demonstrators protest along Paulista Avenue in Sao Paulo, Brazil against corruption and in support of the Lava Jato anti-corruption operation that investigates the bribes scandal of Petrobras
14/14 4 December 2016
Cuban President Raul Castro places the urn with the ashes of his brother Fidel Castro in his tomb at the Santa Ifigenia cemetery in Santiago de Cuba
What is more, if there is opposition to the accord the government and the Farc will be more compelled to show their commitment to complying with it, said Restrepo, head of a conflict analysis consultancy called Cerac.
“And Uribe has no veto or blocking power,” said Restrepo.
Commander Rodrigo “Timochenko” Londono and other Farc leaders arrived in Bogota on Monday to finalise the deal.
Ahead of the referendum, the Farc's 5,700 fighters gathered to wait in their jungle bases.
The full peace accord aims to see them demobilise and disarm over the coming months under UN supervision.
But officials warned that the longer the accord is delayed, the higher the risk of violence.
The Colombian conflict started in 1964 when the Farc formed to fight for land rights for rural communities.
It drew in various left and right-wing armed groups, state forces and gangs.
The conflict has killed at least 260,000 people and displaced seven million, according to authorities.