|Founded||November 7, 1977|
|Operating bases||Viru Viru International Airport|
TAB was set up in 1977 as a sub-division of the Air Transport Management of the Bolivian Air Force (Fuerza Aérea Boliviana, abbreviated FAB) in 1977, originally operating on-demand medium to long-haul heavy cargo flights using a fleet of Lockheed C-130 Hercules transport aircraft, which were based at El Alto International Airport in La Paz. In 1992, TAB was shut down.
In 1999, the airline was reactivated as a civil company based at Cochabamba, then operating a single military C-130 and a L-382, the civil variant of the preceding. In 1999, TAB moved 84,649 kilograms of cargo, which was increased to over 2 million kilograms in 2000, to 4,176,429 kilograms in 2006.
As of 2021, TAB only has one aircraft, an MD-10, which is pictured to the right. This aircraft's flight registration is CP-2791.
As of May 2019, TAB operates scheduled flights to the following destinations: 
|Bolivia||Cochabamba||Jorge Wilstermann International Airport|
|Bolivia||La Paz||El Alto International Airport|
|Bolivia||Santa Cruz de la Sierra||Viru Viru International Airport|
|Perú||Lima||Jorge Chávez International Airport|
|United States||Miami||Miami International Airport|
|Venezuela||Caracas||Simon Bolivar International Airport|
Additionally, TAB serves a wide range of charter routes.
|McDonnell Douglas MD-10-30F||1||—|
|Lockheed C-130 Hercules ||1||1977||2014||Transferred to the Bolivian Air Force|
|Lockheed C-382 Hercules||1||1999||2014|
|Douglas DC-8-54CF||1||1991||1999||Leased from Transconsult Ltd|
|McDonnell Douglas DC-10-10F||1||2007||2014|
|McDonnell Douglas DC-10-30F||1||2009||2016|