Remove affected plants promptly before the black resting spores are formed and contaminate the soil. In the case of garden mint it is also necessary to remove infected rhizomes. In an infected bed, try to locate any uninfected stems and carefully dig these out and move to another location in an attempt to start a new, healthy colony.
Heat treatment is a method used by commercial nurseries, but could be adapted for the home gardener. Wash rhizomes thoroughly in early autumn and immerse in hot water at 44ºC (111ºF) (no higher) for 10 minutes, then cool in cold water and plant. An accurate thermometer is required, because 44ºC (111ºF) is very near the lethal temperature for the plant, and it may be more profitable to spend the money on some new plants.
No fungicides are available to gardeners to treat rust on mint used for food.
For ornamental species, the fungicides tebuconazole (Provanto Fungus Fighter Concentrate), tebuconazole with trifloxystrobin (Provanto Fungus Fighter Plus, Toprose Fungus Control & Protect), and triticonazole (Fungus Clear Ultra) may be used. They will be most effective at preventing new infections, but because they have systemic activity (are taken into the plant tissues) they may have some curative properties.
Inclusion of a fungicide product does not indicate a recommendation or endorsement by the RHS. It is a list of products currently available to the home gardener.
Fungicides for gardeners (Adobe Acrobat pdf document outlining fungicides available to gardeners).
Chemicals: using a sprayer
Chemicals: using safely and effectively
Chemicals: storing and disposing safely