Joachim was born into the illustrious "gens" Türje, which originated from Zala County. His father Gecse I, was the first known member of the kindred. He had at least three siblings: Denis I, the father of the powerful baron Denis II, Gecse II, who served as "ispán" of Zala (1225) and Bars counties (1236–1240). An unidentified sister was also mentioned in 1254, when she was widow of a deceased male member of the "gens" Ákos. Joachim had two sons from his unidentified wife: Thomas participated in the Battle of Mohi, and later functioned as the "ispán" of Karakó ispánate. The Szentgróti family descended from him. Joachim's younger son was Philip, an influential prelate in the second half of the 13th century, who served as Bishop of Zagreb from 1247 or 1248 to 1262, and as Archbishop of Esztergom from 1262 until his death, and was a strong confidant of the Hungarian royal family.