MFAT says the New Zealand National Radiation Laboratory has advised there is no radiation safety hazard to Tokyo at this time.
The quake and tsunami on 11 March severely damaged the Fukushima Daiichi nuclear power plant, prompting radiation fears in the capital.
However, MFAT is still warning people against all tourist and non-essential travel in those areas most affected.
People should monitor local media closely and follow any advice and instructions on precautionary or protective measures issued by local authorities, it says.