The men were working on the second floor at the structure that is being built at the Formula One team's base in Faenza and they received immediate treatment on the site.
Subsequently, the workers were taken to a medical facility in Cesena, although neither man is in a serious condition.
"This morning [Thursday], at the site where construction of a new building is underway, to become part of the team factory here in Faenza, an accident took place," read a statement on Toro Rosso's official website.
"Two of the construction workers were injured while working on the second floor, as they fell when the ceiling collapsed.
"After receiving immediate attention at the site, both men were taken by ambulance to the Cesena Hospital, where neither men is in a serious condition.
"We wish them both a full and speedy recovery."
Toro Rosso sit seventh in the constructors' championship, having amassed 19 points.