Preliminary investigations showed that the suspects belonged to the Islamic State group, he said, without providing further details on the number of detainees or the identities of those arrested.
The official said the Interior Ministry would continue efforts to preserve the country's security and stability, warning that authorities would deal firmly with anyone seeking to undermine stability or obstruct reconstruction efforts.
Two explosions struck the vicinity of the building of Syria's Tourism Ministry on Tuesday during the visit of French President Emmanuel Macron. The blasts killed one person and injured several others, most of them Interior Ministry personnel, while Macron's motorcade was about 10 kilometers away from the scene.
The attack came as Syria had stepped up security measures in recent months amid concerns over attempts by Islamic State sleeper cells to stage attacks while the country seeks to restore stability and attract international investment following years of conflict.