A Hausdorff space X is said to be paracompact [2] provided that if W is a collection of open sets covering X, there exists a collection W' of open sets covering X such that (1) each element of W' is a subset of an element of W and (2) each point of X belongs to an open set which intersects only a finite number of elements of W'; X is said to be countably paracompact [3] provided that if W is a countable collection of open sets covering X, there exists a collection W' satisfying the above conditions. It is known that not every normal Hausdorff space is paracompact [2], but the question whether every such space is countably paracompact is as yet unsolved (cf. [3]). Since every linearly ordered space' is a normal Hausdorff space (cf. [1, p. 39]) but not necessarily paracompact [2], it seems natural to inquire whether every linearly ordered space must be countably paracompact. The purpose of the present note is to show that this is the case. DEFINITIONS. 1. A collection G of subsets of a space X is said to be locallyfinite provided every point of X belongs to an open set X which intersects at most a finite number of the elements of G. 2. If G and H are collections of sets, then H is said to be a refinement of G provided each element of H is a subset of some element of G. 3. A collection G of sets is said to be coherent provided G is not the sum of two collections G, and G2 such that no element of G1 intersects an element of G2. 4. If p belongs to some element of the collection G of sets, then the star of p with respect to G is the sum of the elements of G which contain p. Suppose X is a linearly ordered space and W is a countable collection of open sets covering X. For each point p of X, let Mp denote the set of all points x of X such that there is a finite, coherent collection HX of open intervals of X such that H. is a refinement of W and covers the set whose elements are p and x. For each point p of X, let Kp denote the collection of all open intervals k of X such that k is a subset of Mp and of some element of W. It is easily seen that for each p in X, Mp is both open and closed and if q M, then M = M,.