The set of discovered Archaean organisms does not indicate anaerobic atmosphere as early as 3.5 Ga. The RNA-world must have existed at least at 3.9 GA and, likely, close to the beginning of degasification and appearance of water on the Earth surface. The earliest cellular organisms (membranes) also appeared before 4.0 Ga. Possibilities of evaluation of conditions on the Earth's surface are under the consideration of both geological-geochemical and possibly mainly paleontological data. The important element in the analysis of the Earth conditions is the level of organisms organization presented in the paleontological record, because it is connected with the existence of peculiar abiogenic conditions, such as temperature, amount of oxygen, amount of water etc.