Police initially responded to Polk and Filbert streets at 9:07 a.m. because of a package there.
While responding, police were alerted about a second suspicious object at 1 Market St. in the Financial District at 10:37 a.m.
More officers headed to the second location and just before noon, they determined that the package was not a threat, police said.
The first package was also deemed safe and investigators had left the scene by noon, police said.