Sir,--Knowing how deeply my Lords Commissioners, of the Admiralty are interested in the advancement of nautical knowledge, and particularly in the improvement of geography, I have to acquaint you, for the information of their Lordships, that the expedition, the main object of which is to solve, if possible, the question of a north-west passage from the Pacific to the Atlantic Ocean, particularly by Prince Regent's Inlet, and which sailed from England in May, 1829, notwithstanding the loss of the fore-mast and other untoward circumstances, which obliged the vessel to refit in Greenland, reached the beach on which his Majesty's late ship Fury's stores were landed, on the 13th of August. We found the boats, provisions, &c. in excellent condition, but no vestige of the wreck. After completing in fuel and other necessaries, we sailed on the 14th, and on the following morning rounded Cape Garry, where our new discoveries commenced, and, keeping the western shore close on board, ran down the coast in a S. W. and W. course, in from 10 to 20 fathoms, until we had passed the latitude of 72 north in longitude 94 west; here we found a considerable inlet leading to the westward, the examination of which occupied two days; at this place we were first seriously obstructed by ice, which was now seen to extend from the south cape of the inlet, in a solid mass, round by E. to E. N. E.; owing to this circumstance, the shallowness of the water, the rapidity of the tides, the tempestuous weather, the irregularity of the coast and the numerous inlets and rocks for which it is remarkable, our progress was no less dangerous than tedious, yet we succeeded in penetrating below the latitude of 70 north, in longitude 92 west, where the land, after having carried us as far east as 90, took a decidedly westerly direction, while land at the distance of 40 miles to southward, was seen extending east and west. At this extreme point our progress was arrested on the 1st of October by an impenetrable barrier of ice. We, however, found an excellent wintering port, which we named Felix Harbor.