The incidence of malignant neoplasms (MNs) continues to grow in the world and in Russia; only prevention measures and methods, the implementation of which largely depends on the population’s health literacy (HL) concerning MNs, will assist in preventing the development and stopping a rise in the incidence. A review of numerous studies conducted in different countries and population groups suggests that there is a lack of knowledge about the causes of and risk factors for MNs and measures for their prevention. Anticancer education (ACE) of the population is the main tool for introducing evidence-based and effective prevention measures and methods into practical healthcare. The paper describes the population, group, and individual forms of ACE and the experience of their application in practical public health in different countries. It presents data from a number of studies evaluating the effectiveness of different forms of ACE in increasing the level of knowledge about risk factors and measures for the prevention of MNs and participation in their screening programs. The greatest effectiveness is provided by ACE through long-term thematic programs and use of all the three types of informational education of the population: population, group, and individual ones. The conclusion of the review notes that with a general insight into the importance of ACE in the population, the organization and implementation of educational medical care in the healthcare system in Russia are at a clearly insufficient level due to a number of barriers to its development. The most common obstacles in the implementation of informational and educational assistance to patients are lack of time for physicians and little shortage or simply lack of funding for this kind of activity. The organization of an effective ACE of the population is one of the main and largely unrealized areas in cancer control.