The horrifying incident, which could have turned risky, took place on flight 3562, which was set to take off from Phoenix to fly to Dallas, Texas, according to local news.
After the landing, the passengers were put on another aircraft to Dallas that arrived safely.
A Dallas-bound flight was diverted to the Albuquerque International Sunport after smoke filled the aircraft's cabin.
All remaining passengers boarded another plane and continued their journey to Dallas. The diverted aircraft was held in Albuquerque until mechanics cleared its return to service.
The flight's passengers, of which there was an unspecified amount at this time, de-planed onto the tarmac and taken via city bus back to the Sunport.
According to the Albuquerque Fire Department, two people were taken to nearby hospital.More news: Game of Thrones stars 'in tears' over ending
More news: Trump to Host Saudi Crown Prince Next Week
More news: Struggling Southampton fires manager Mauricio Pellegrino
A video from Southwest Airlines flight shows frantic passengers evacuating the cabin after an electrical fire. Five passengers "requested assessment by medical personnel", upon landing, the airlines said.
According to ABC affiliate KOAT, the people onboard the plane described the experience as scary.
A Dallas police officer who was on the flight praised Southwest attendants following the incident on Twitter.
"Just made an emergency landing in Albuquerque".
This is a developing story.
Passengers said they could feel heat from the vents shortly before the crew said the plane was going to make an emergency landing at Albuquerque, New Mexico.