Since the start of September, the University has been made aware of six positive tests.
The positive cases are among both students and staff - however they are not connected to each other, the University said in a statement.
The University is not currently aware of other cases, but said it "is possible students living in private residences have not yet informed" them of their status.
Guidance and support is available to staff and students.
A University of Leeds spokesperson said: "Since the start of September the University has been made aware of six positive tests for covid-19 among our students and staff - these cases are not connected to each other.
"We are not currently aware of others, although it is possible students living in private residences have not yet informed us of their status.
"We are continuing to provide guidance and support to staff and students about staying safe via coronavirus.leeds.ac.uk."
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