All meteoritic organic chemical analyses published since 1900 are critically reviewed. Inactive during the first half of the century, this field has been revived by the modern realities of spaceflight and exploration, but work has been concentrated on searching the organic constituents of the carbonaceous chondrites for compounds possibly indicative of extraterrestrial life. It is one theme of this paper that this is a poorly focussed effort. A second theme is that many compound identifications reported in the literature are, by present standards, insufficiently supported. The characteristics and thermal histories of the various classes of chondrites are very briefly reviewed. It is shown that certain classes other than carbonaceous chondrites might reasonably be expected to contain organic material. The distribution of carbon among these classes is discussed, and the forms which carbon takes in each case are noted. It is shown that significant amounts of extractable organic material may be expected not only in the carbonaceous chondrites but also in the unequilibrated ordinary chondrites and in the ureilites. Evidence indicating that volatile materials, possibly including carbon and its compounds, are heterogeneously distributed in chondrite specimens is considered. Amounts of organic material extracted or volatilized from various meteorite specimens are tabulated. Various crude but informative studies undertaken using unfractionated extracts are discussed. Data indicating the elemental composition and general chemical nature of meteorite extracts are tabulated and the infrared and ultraviolet absorption spectra of meteorite extracts and crude fractions are described and discussed. Isotope ratio analyses of extracts, volatilized and combusted materials, and whole stones are discussed and the carbon and hydrogen isotope ratios found in carbonaceous chondrite analyses are tabulated. Analytical studies proving or claiming to prove the presence in meteorites of particular organic compounds are discussed critically and in detail. Evidence indicating that certain analytical studies of hydrocarbons and of amino acids have been crucially affected by the presence of contaminating materials is considered. It is concluded that optically active compounds have not been proven to be present in meteorites. Possible origins of meteorite organic compounds and the relations of these origins to theories of meteorite origin are briefly discussed.