The problems of submarine navigation are entirely distinct from those encountered on the surface. Not only does the medium introduce a third dimension, which is not wholly analagous to that of the air since a definite limit is imposed on depth, but also a great many of the aids to surface navigation are either restricted in their use underwater, or are wholly inappropriate and will not function. The use of the principal aids to submarine navigation is briefly described in this paper, future developments being mentioned where possible. A more detailed examination is then made of the problems of underwater navigation, problems in the main that affect the accuracy of keeping a reliable dead reckoning. An account is also given of a gravity survey carried out in H.M. Submarine Talent, during which the author served as navigating officer. On this operation the requirement for position accuracy was high, and some of the methods used were of considerable interest. The survey also provided the opportunity for current and tidal-stream observations to be made at different depths and an account of these observations is given.