Introduction.The ¾ine-Matthew8 [1963] model of the magnetic structure of the igneous oceanic crust, in which basement is considered to be made up of alternating normal and reverse magnetic polarity blocks with a one-to-one match with linear marine magnetic anomalies, has received wide acceptance in the geological and geophysical community.Comparison of the results from studies of samples obtained by dredging, submersible, and shallow drilling, with magnetic anomaly inversion and modeling are generally consistent with this model if the sections of magnetic crust are considered relatively thin --of the order of a kilometer in vertical thickness. However, work that has taken place in the last four years seems to indicate that the magnetic structure of the oceanic crust is a great deal more complicated than originally envisaged. Recent studies of the oceanic basement basalt recovered by the GLOMAR CHALLENGER, particularly from deep basement holes in the Atlantic, have indicated that the net magnetization of the upper 600 meters of igneous crust may s in some places, appear to be insufficient to contribute much to the overlying anomaly amplitudes.A number of phenomena are responsible for this apparent inadequate magnetization, including polarity reversals in vertical crustal sections, non-dipolar magnetic directions, pervasive low-temperature alteration of the magnetic minerals with the corresponding decrease in remanent magnetization, and the presence of even occasional plutonic rocks within the upper volcanic rock units.This review and the following bibliography will try to describe some of the studies that have had a major impact on our understanding of the magnetization of the oceanic crust, and also some of the models that have resulted from these studies. Generally only those investigations that have addressed the problem of the source of the linear marine magnetic anomalies will be referred here.Papers that use magnetic anomalies to solve tectonic problems as well as those which are largely concerned with rock magnetics will be discussed elsewhere in this volume. Previous reviews by Lowtie [1974], BZak•Zy •t aZ. [1975], and Larson [1975] describe the pre-1974 papers on the subject of oceanic crustal magnetization, and two excellent review articles (Har•i8om, 1976; Low•, 1977) have recently been published. An entire issue of the Journal of Geophysical Research (81, pp. 4041 to 4380, 1976) was devoted to papers on problems associated with the structure of the oceanic crust. magnetization at Cambridge, England during September, 1978. The last four years have provided several direct tests of the Vine-Matthews hypothesis --a sufficient number at least to see some of the difficulties associated with the geological magnetic tape recorder. A number of attempts at deep crustal drilling by the GLOMAR CHALLENGER, beginning somewhat modestly with Leg 34 and followed by the more successful penetration of nearly 600 meters in the Atlantic by Legs 37 and 45, and over 400 meters by Leg 46, have provided a look at the previousl...