Tasmania doesn't encourage the keeping of reptiles and amphibians in its state. Permits can be obtained to keep Tasmania-native reptiles, but keeping reptiles from interstate is discouraged for disease control reasons.

Have a look at these pages for more info:
http://www.parks.tas.gov.au/wildlife/reptile/keeping.html.
http://www.dpiw.tas.gov.au/inter.nsf/WebPages/BHAN-55A9TA?open