Asiana currently operates two return flights a month to Fukushima under a lease deal that expires at the end of September.
"The service will be halted in October and a decision will then be taken on whether to extend the cancellation depending on conditions," an Asian spokeswoman told AFP.
"Passengers are clearly anxious and we are paying close attention to all reports on nuclear reactor pollution levels at Fukushima," the spokeswoman said.
Since a quake-generated tsunami struck Fukushima in March 2011, knocking out reactor cooling systems and sparking meltdowns, there have been four similar leaks from tanks of the same design.
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