The hostages, who were seized in mid-March, were handed over to the Red Cross yesterday in a remote area in the northwestern region of Choco, the humanitarian group said in a statement.
The hostages were identified as Freddy Alexander Chaverra and Leidy Viviana Betancourt in a tweet by Catholic Archbishop Dario Monsalve, who has often helped facilitate hostage releases.
The Red Cross said the hostage deal was reached in Quito, Ecuador, where the government and the ELN have been holding talks since February, seeking to replicate last year's historic peace deal with the Revolutionary Armed Forces of Colombia (FARC).
The FARC, which is now in the process of disarming, was the largest and oldest rebel group in a multi-sided conflict that began in the 1960s and has killed more than 260,000 people and left 60,000 missing.