Mojs I had at least three children from his unidentified wife; Mojs II who made an alliance with oligarch James Borsa and the sons of the late Ladislaus Kán in 1315 and caused a rebellion against Charles I of Hungary; magister Ellős who died before 1329 and a daughter who married to Andrew Sárpataki.

[3] He was first mentioned by contemporary records in 1278, when he and his brothers donated the estate of Dicsőszentmárton (today Târnăveni, Romania) to their familiaris, a certain Paul for his faithful service, in exchange for 50 marks.

[7] On the instruction of Lodomer, Archbishop of Esztergom and the archiepiscopal synod, Árbóc (a Cuman maternal relative of King Ladislaus IV of Hungary) and Mojs I were arrested and held in captivity by Peter Monoszló, the Bishop of Transylvania in 1288, because Lodomer mistakenly thought that they had planned to go the Mongols as the envoys of Ladislaus IV whose relationship was severely burdened with the Catholic Church.

[2] He appeared in the dignity (as the first known office-holder since 1228, when Bogomer Ludány held the office) on 12 March 1291, when King Andrew III of Hungary confirmed his predecessor Ladislaus' land donations to the Székelys of Aranyos Seat.

[9] Mojs Ákos briefly served as Master of the treasury from around October to December 1291, succeeding the rebellious Ivan Kőszegi.