http://www.physics.isu.edu/radinf/tritium.htm
..."The radioactive decay product of tritium is a low energy beta that cannot penetrate the outer dead layer of human skin. Therefore, the main hazard associated with tritium is internal exposure from inhalation or ingestion. In addition, due to the relatively long half life and short biological half life, an intake of tritium must be in large amounts to pose a significant health risk. Although, in keeping with the philosophy of ALARA, (As Low As Reasonably Achievable) internal exposure should be kept as low as practical."...
..."Cosmic rays interact with nitrogen (14N) or with deuterium (2H) and form tritium and carbon (12C). These are primarily interactions that happen in the upper atmosphere and the tritium falls to earth as rain"...
There may be a larger risk to humans from handling poorly manufactured exit signs that "glow" like radium watch dials, or broken tritium gunsights.
RISKS
Lets say you
eat your tritium rifle sight.
..."The risks from tritium are small, due mostly to:
it is a low energy beta emitter;
chemically behaves like water in the body (forms HTO or T2O - water);
has a 12.3 year half-life.
While not impossible, a large enough dose to cause any significant harm to a person is unlikely. It is a hazard, and should be treated like any other. Some basic precautions can minimize the risks, such as not handling a broken sign or sight with bare hands, ventilating an area where tritium is stored and proper disposal of used or damage tritium objects.
To help evaluate the potential risks from tritium exposure, consider the following made-up scenarios:
1) all of the activity of a rifle sight is ingested;
The rifle sights contain 12 mCi of tritium. If all of its activity were ingested, the CEDE would be 768 mrem or
roughly two years of dose from natural background.
2) ten percent of the activity of a rifle sight is ingested and not recognized;
If ten percent of the activity of the tritium in a sight (1.2 mCi) would be ingested, the dose would then be 77 mrem or about two and a half months of natural background radiation."...