He had four children, including the now-United States-based set designer Gogi Aleksi-Meskhishvili.
Georgi Parvanov | Georgi Dimitrov | Yvonne Georgi | Georgi Lozanov | Georgi Ivanov | Georgi Hristov | Vladimir Aleksi-Meskhishvili | Order of Georgi Dimitrov | Georgi Tenev | Georgi Parvanov Vasilev | Georgi Manev | Georgi Krasimirov Georgiev | Georgi (disambiguation) | Georgi Bozhilov | Georgi Aleksi-Meskhishvili | Georgi | Aleksi Sihvonen | Aleksi Bardy |
Gogoberidze was married, since 1958, to the architect Vladimir Aleksi-Meskhishvili (died 1978), with two daughters.
Vladimir Aleksi-Meskhishvili was born in Tbilisi, graduated from the Industrial Institute of Georgia in 1939 and taught at Tbilisi Polytechnic University since 1955.