The Head of State said his thoughts and prayers are with them.
The top official also hoped for the speedy recovery of those who are wounded.
"I express my heartfelt condolences to the relatives of Angel Torres and Nicolas Santa Gadea, brave firefighters who passed away in the accident that occurred at Jorge Chavez Airport. My thoughts and prayers are with them. I hope for the recovery of the injured," Mr. Castillo expressed via his Twitter account.
During the afternoon a Latam airplane that was covering the domestic Lima-Juliaca route suffered a fire while on the runway. Passengers and crew were evacuated alive.