| Triplemanía XIII | |
| Promotion: | AAA |
| Date: | May 15, 2005[1] |
| Attendance: | 22,129 |
| Venue: | Plaza de Toros |
| City: | Guadalajara, Jalisco, Mexico |
| Lastevent: | Rey de Reyes |
| Nextevent: | Verano de Escándalo |
| Event: | Triplemanía |
| Lastevent2: | XII |
| Nextevent2: | XIV |
Triplemanía XIII was the thirteenth Triplemanía professional wrestling show promoted by AAA. The show took place on June 20, 2005 in Guadalajara, Jalisco, Mexico. The Main event featured a Six-man "Lucha Libre rules" tag team match between the teams of Latin Lover, La Parka and Octagón and Los Hell Brothers (Chessman and Cibernético) teaming with Fuerza Guerrera.
In early 1992 Antonio Peña was working as a booker and storyline writer for Consejo Mundial de Lucha Libre (CMLL), Mexico's largest and the world's oldest wrestling promotion, and was frustrated by CMLL's very conservative approach to lucha libre. He joined forced with a number of younger, very talented wrestlers who felt like CMLL was not giving them the recognition they deserved and decided to split from CMLL to create Asistencia Asesoría y Administración, later known simply as "AAA" or Triple A. After making a deal with the Televisa television network AAA held their first show in April 1992.[2] The following year Peña and AAA held their first Triplemanía event, building it into an annual event that would become AAA's Super Bowl event, similar to the WWE's WrestleMania being the biggest show of the year.[3] The 2005 Triplemanía was the 13th year in a row AAA held a Triplemanía show and the 18th overall show under the Triplemanía banner.
The Triplemanía XIII show featured six professional wrestling matches with different wrestlers involved in pre-existing scripted feuds, plots and storylines. Wrestlers were portrayed as either heels (referred to as rudos in Mexico, those that portray the "bad guys") or faces (técnicos in Mexico, the "good guy" characters) as they followed a series of tension-building events, which culminated in a wrestling match or series of matches.