No country has ever produced a nuclear-powered tanker. It's not worth it. It's more or less an oxymoron - oil tankers, by definition, go where fuel oil is easily available, and it's not as if you can say "we're stopping global warming" when you're transporting oil. Many ports might ban the ships (for instance, in Britain, there is discussion about what would be done if Scotland gained independence, and threw out the nuclear submarine base at Faslane. One geographically suitable site is Milford Haven, but people point out it's already a major tanker port and oil refinery, and they don't like the mixture of that and nuclear). The only civil ships that have kept with nuclear propulsion (as opposed to a couple of experimental ones) are Russian ice-breakers, and their role has justification - voyages of unknown duration, far from refuelling ports.
For regular ships, nuclear power isn't worth it. But they've noticed that naval propulsion typically uses highly enriched uranium. This is the kind of move that says "yea, we are developing nuclear weapons, but just need the tiny final fig leaf before we've announced we've perfected them".
As an example of the status of nuclear-powered ships, consider the only one the Russians are still running:
After entering service Sevmorput was denied entry to four major ports in the Soviet Far East. Authorities in Nakhodka, Vostochny, Magadan and Vladivostok refused to accept the two-month-old ship into their ports due to popular protests. In addition the harbour workers also refused to load or unload any cargo or provide any port services due to fears of radiation leakage. This was caused by uncertainty about the safety of the ship's nuclear propulsion system and the shadow of the Chernobyl disaster only few years earlier. The local newspapers had also reported a four-minute emergency onboard the nuclear icebreaker Rossiya only a week before the arrival of Sevmorput. The ship was finally allowed to dock at Vladivostok on 13 March 1989.
http://en.wikipedia.org/wiki/SevmorputWhen popular protest kept a Soviet ship out of ports
in the Soviet Union, you know that there'd be protests about any Iranian one.
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