The toxic water is no longer escaping from a storage tank on the site, said a spokesman for Tokyo Electric Power, adding it was likely contained, but the news is a further blow to the company's already-battered reputation for safety.
"As there is no drainage way near the leak, which is in any case far from the ocean, it is unlikely that the water has made its way into the sea," he said.
The tank, one of hundreds at the site that are used to store water contaminated during the process of cooling broken reactors, sits around 700 metres (2,300 feet) from the shore.
The water it contains is highly radioactive, with a beta radiation reading "at 230 million becquerel per litre", he said.
That contamination level compares with government limits of 100 becquerels per kilogramme in food and 10 becquerels per litre in drinking water. A becquerel is a unit of radioactivity.
Beta radiation, including from cancer-causing strontium-90, is potentially very harmful to humans and can cause damage to DNA. But it is relatively easy to guard against and cannot penetrate a thin sheet of aluminium.
"We are now in the process of recovering the leaked water and the earth it has contaminated," the spokesman added.
The tank holds water filtered to remove caesium but which still contains strontium, a substance that accumulates in bones and can cause cancer if consumed.
About half of the beta radiation from the latest leak is thought to be strontium-90, TEPCO said, meaning its concentration level is nearly four million times the legal limit of 30 becquerel per litre.
Japan's Nuclear Regulation Authority said, however, it sees no serious risks to environment outside the plant at this point.
The accident came a day after TEPCO announced that one of the two thermometers in the lower part of the No.2 reactor pressure vessel is out of order. There were originally nine thermometers in the vessel.
TEPCO said it can still see the temperature of the area with the remaining thermometer.
The device was monitoring the temperature of fuel that has been kept in "a state of cold shutdown" to prevent a self-sustaining nuclear reaction -- criticality -- a TEPCO spokesman said.
- Only the latest issue -
Thursday's leak announcement is the latest in a long line of problems the utility has had with waste water at the plant.
TEPCO poured thousands of tonnes of water onto runaway reactors to keep them cool, and continues to douse them, but has to store and clean that water in a growing number of temporary tanks at the site.
In August, TEPCO said around 300 tonnes of radioactive liquid were believed to have escaped, an incident regulators said represented a level-three "serious incident" on the UN's seven-point International Nuclear Event Scale.
Two months later, the Fukushima plant had another leak of radioactive water containing a cancer-causing isotope, possibly into the sea.
At that time, TEPCO said a barrier intended to contain radioactive overflow was breached in one spot by water contaminated with strontium-90 at 70 times the legal limit for safe disposal.