The tragedy happened just moments before the group was scheduled take the stage.
The group's singer Jennifer Nettles spoke to ABC's Robin Roberts on "Good Morning America."
When asked what went through her heart and mind, Nettles said, "I wept. You know, we are forever connected to those people, because of the evening that we shared, and the moment that we shared, and the tragedy that we shared."
There will be much more on Sugarland's emotional return to Indianapolis Tuesday night on ABC's "In the Spotlight with Robin Roberts."