School officials say both of the students accessed on-campus buildings while they were infectious.
The university says it is still awaiting results from the testing performed on freshmen, who were moving into campus housing this on Monday.
RELATED: COVID-19 testing for Temple students moving into dorms
Any student who tests positive will be asked to return home or directed to designated on-campus housing to isolate.
At the end of July, all students were emailed and asked to quarantine for two weeks before arriving on campus.
RELATED: Temple University unveils plans for students to return for fall classes
Next week, the university will open a dedicated coronavirus testing center on the ground floor of Morgan Hall for rapid testing should students feel ill.