Director of the stock exchange Alpino Kianjaya declined to comment on the incident. Markets are currently in midday break and will reopen at 1.30pm local time.
Images circulated on social media showed a mangled metal structure that had collapsed around a Starbucks cafe near the entrance to the multi-storey building.
TV images showed some people sitting on the steps outside the building.
Jakarta police said they were seeking more information on the incident.