Cameron, who produced the Discovery Channel film set to air on Channel 4 in the UK, will unveil the two key coffins at a press conference in New York tomorrow.
The Discovery Channel claimed the evidence could be the "greatest archaeological find in history".
It doesn't get bigger than this," Cameron said.
"We've done our homework; we've made the case; and now it's time for the debate to begin."
The Lost Tomb of Jesus, directed by Simcha Jacobovici, cites statistical analysis that found the odds are at least 600 to 1 in favour of the tomb being that of Jesus's family.
It does not challenge the resurrection because "even if Jesus' body was moved from one tomb to another, that does not mean that he could not have been resurrected from the second tomb".
All four Gospels say that Jesus was crucified on the eve of the Sabbath and that the tomb his body was placed in was empty when the disciples woke on Sunday morning.
The cave tomb examined in the film was discovered when the earth gave way as builders dug the foundations for an apartment complex in the Jerusalem suburb of Talpiot 27 years ago.
Inside were 10 limestone bone boxes, six with inscriptions said to date from the time Jesus was alive.
An official report written after the discovery of the find by prominent archaeologist Amos Kloner found nothing remarkable about it, particularly as the names used were all very common in the period concerned.
But the filmmakers believe five of the inscriptions represent the key New Testament figures of Jesus, Mary, Matthew, Joseph and Mary Magdalene, while a sixth, written in Aramaic, translates to "Judah Son of Jesus".
The coffins linked to Mary and Matthew are inscribed with the Hebrew "Maria" and "Matia".
Another reads "Mariamene e Mara", Greek which can be translated as "Mary known as the master".
Harvard history of religion professor Francois Bovon said Mariamene, or Mariamne, was probably the actual name given to Mary Magdalene.
The team collected bits of matter from the "Jesus Son of Joseph" and "Mariamene e Mara" ossuaries, as well as patina, a chemical film encrusted on one of the limestone boxes.
DNA examination determined that the individual in the Jesus coffin and the person in the one linked to Mary Magdalene were not related.
Jacobovici and Cameron suggest that since tombs normally contain either blood relations or spouses, it is possible Jesus and Mary Magdalene were a couple.
And they believe "Judah" may have been their son, and could have been the "lad" described in the Gospel of John as sleeping in Jesus's lap at the Last Supper.
Sceptics argue the collection of extremely common names on the ossuary inscriptions in the Talpiot tomb are coincidental.
"It makes a great story for a TV film," Professor Kloner reportedly told The Jerusalem Post.
"But it's impossible. It's nonsense."
However the film says a study by Andrey Feuerverger, a professor of statistics and mathematics at the University of Toronto, backs up their argument.
He concluded that the odds were at least 600 to 1 in favour of the theory.
"This has been a three-year journey that seems more incredible than fiction," Jacobovici said.
"The idea of possibly finding the tomb of Jesus and several members of his family, with compelling scientific evidence, is beyond anything I could have imagined."
The researchers also said they discovered a second, as-yet unexplored tomb about 65 feet from the Talpiot Tomb, used a robotic camera to film inside it.
They speculated that this tomb could contain the remains of additional family members, or even disciples.