Akhrik Sokratovich Tsveiba (Russian: Ахрик Сократович Цвейба; born 10 September 1966) is a former professional footballer.

At international level, he represented Soviet Union, CIS, Ukraine and Russia national teams.

Born in Gudauta, Tsveiba began playing youth football with local side M. Chachba.

Tsveiba won the 1990 Soviet Top League with Dynamo and was awarded Master of Sports of the USSR.

Tsveiba was a non-playing squad member at the 1990 FIFA World Cup for the Soviet Union, and at Euro 1992 for the CIS.