He is married to Dalassena Nn.
They got married
Child(ren):
Dalassena . Her parental family is confirmed by Nikeforos Bryennios who records the marriage of "Ioanni" and "filia Charonis Alexii…Anna", stating that her mother was "genus a Dalassenis"[183]. m ALEXIOS Kharon, son of ---. Prefect of Italy.
Alexios & his wife had one child:
ANNA Dalassena (-1 Nov [1100/02], bur Pantopopte)
Bronnen:
[183] Meineke, A. (ed.) (1836) Ioannes Cinnamus, Nicephorus Bryennius, Corpus Scriptorum Historiæ Byzantinæ (Bonn) ("Nikeforos Bryennios") Liber I, 2, p. 19.
https://fmg.ac/Projects/MedLands/BYZANTINE%20NOBILITY.htm#_ftnref183