There are about 550 children among the 1,300 or so people camping in the national park, which is located along with one of Bogotá's busiest avenues.
Some of the children are suffering from "malnutrition" and cold.
The majority of the squatters are from the indigenous Embera community, based in the southwestern regions of Cauca and Choco.
They say they have fled violence by armed groups in their home country and cannot return.
After five months of fruitless negotiations, the humanitarian problem has become a "historic crisis" according to the Colombian press.
More No Comment
A thousand candles lit up in Bangkok to mark Buddha's birthday
Final preparations underway for 75th Cannes Film Festival
Colombia: Bari indigenous people protest against violence
France: parade marks the opening of "Utopia" festival in Lille
Under the skin: Ukrainians embrace tattoos amid patriotic outpouring
Singapore temple offers pet blessings for Buddhist festival
Thousands expected to rally across US for abortion rights
World's longest suspension bridge opens in Czech Rep
Extinction Rebellion activists target Monsanto offices in Buenos Aires
No Comment videos of the week
Israeli riot police at journalist's funeral procession
Hundreds of amateur musicians rock out ahead of Paris concert
Panic buying grips Beijing supermarkets after lockdown rumours
Ukraine: puppet of Syrian refugee girl 'Little Amal' arrives in Lviv
Gaza artists paint a mural in honour of slain Al Jazeera journalist