The demonstration in Mexico City will be the latest show of discontent over the government's handling of a tragedy that has battered Pena Nieto's approval rating and tarnished his international image.
Felipe de la Cruz, the spokesman for the families, said the "march of national indignation" will start near the Los Pinos presidential residence and culminate at the Zocalo historic square.
"We will march with energy. We can't rest in our search" for the students, he told AFP.
Pena Nieto met with the frustrated parents for only the second time since last year on Thursday, insisting that his government had not closed the investigation.
"We are on the same side," Pena Nieto told the parents. "We are searching for the truth together."
The president also ordered the creation of a special prosecutor's office to investigate the more than 20,000 disappearances in the country.
But the parents, who handed the president a list of demands, voiced disappointment and vowed to continue pressuring the government.
The conclusions of the case have been disputed by the parents.
Scores of students from the Ayotzinapa rural teacher college in Guerrero traveled to the city of Iguala on September 26, 2014 to hijack buses to join a commemoration in Mexico City.
