This work presents a concise and state‑ of‑ the‑ art grammar of the reconstructed proto‑ language of the Indo‑ European linguistic family. Drawing on a long tradition of Indo‑ European studies in Prague, it aims to provide the Czech reader with the necessary background for the study of the older Indo‑ European languages such as Greek, Sanskrit, Latin, Gothic, Old Irish, Hittite or Old Church Slavonic in a comparative perspective, while at the same time offering an explanation for the present state of the Czech language. Though succinct, it covers all the crucial topics, either long settled or still disputed, of the field of the Proto‑ Indo‑ European grammar. In the chapter on PIE phonology, such topics are covered as the satem‑centum isogloss, the laryngeal theory, the evolution of the system in the various branches of Indo‑ European. Sound laws, such as Grassmann's, Brugmann's or Grimm's are explained and exemplified. In order to facilitate comprehension, parallels are given in modern Czech where possible and phonetic description included. The chapter on morphophonology covers, among other important phenomena, the function and origin of the PIE vowel‑ gradation, the so‑ called ablaut, one of the main vehicles of derivation in the older daughter languages and the proto‑ language itself – still traceable in a number of forms in Czech. The chapter on PIE morphology outlines the various problems of analysis and description involved in a reconstructed language, quite different in most respect from any of the modern IE languages: the problem of word classes, the categories and their relations both synchronic and diachronic, inflection and internal derivation, typological parallels, and some of the more prominent competing theories of their function and evolution. The nomina (nouns and adjectives) are described first along the grammatical categories (number, gender, case) and next formally (the various stems and their role in derivation). Again, Czech forms are provided for comparison where relevant and extant. Paradigms are given in full for some of the most important stems. Pronominal morphology is compared to the structure of the nominal forms and the relevant differences pointed out. Numerals are treated in short. The intricacies of the PIE verbal system are treated from the aspectual perspective of perfectivity, with clear parallels in Czech. The genesis of the PIE verbal morphology and categories is given background in grammaticalisation and the synchronic structure of the verbal form explained as the result of subsequent grammaticalisation stages, again with parallels in Czech or elsewhere, where possible. Categories foreign to Czech speakers, such as the imperfect, aorist, perfect and optative are given special attention. Together with the verb, the evolving system of verbal nominals (participles) is outlined, with reference to Czech and other IE languages. PIE particles, the source of Czech prepositions, adverbs (partly), conjunctions, and particles are treated as a single word class providing all the services required of these separate categories in the daughter languages. PIE syntax, much as it is difficult to reconstruct, is also treated briefly. Appended to the grammar is a dictionary of some seven hundred PIE roots or words present in Czech in some form or another (either inherited or borrowed), which should provide the lexical material needed to appreciate the part on phonology and morphophonology. The bibliography serves as a guideline for further reading in the relevant topics of language change, reconstruction, and Indo‑ European linguistics.