A compact continuum W is said [1](1) to be a simple web if there exists an upper semi-continuous collection G of mutually exclusive continua filling up W and another such collection H also filling up W such that (1) G is a dendron with respect to its elements and so is H and (2) if g and h are elements of G and H, respectively, the common part of g and h exists and is totally disconnected. Hence, a simple web is a web(2). Examples of simple plane webs. Although a simple web is not necessarily a subset of the plane, this paper will deal only with those of this type. A square plus its interior is a simple web. We may consider the elements of G to be intervals parallel to one pair of sides of the square and the elements of H to be intervals parallel to the other pair of sides. We see from Theorem 1 of this paper that if C1, C2, * * * are circles no two of which intersect each other and such that C1 incloses Ci (i = 2, 3, * * . ), then C1 plus its interior minus the sum of the interiors of C2, C3, * is a simple web. A square plus its interior plus an interval intersecting both the interior and the exterior of the square is not a simple web. Hence, a plane web is not necessarily a simple web. By the use of Theorem 1 of this paper, we find that the continuous curve described on page 273 of [7] which is left connected but not locally connected on the omission of some countable subset is not a simple web. This paper gives necessary and sufficient conditions that a compact plane continuum be a simple plane web. Professor R. L. Moore suggested the problem of finding such conditions. Much credit is due him for the development of this paper. It has been shown [6] that every simple plane web is a continuous curve. In the present paper, the following theorem will be established.