1948-1954 has created an extensive series of illustrations to the novel М. А. Шолохова "virgin soil upturned", which made a trip to the don (several editions, one of them: Sholokhov М. А. Works. M.: Young guard. 1956-1960, 6-7). At the end of his life he worked on a series of illustrations to the poem Н. А. Некрасова "to Whom in Russia to live well" (unfinished, published — 1971).

Carried portraits, landscapes, still lifes, genre scenes; has created several history and autolithographs-революционную theme. In 1935 the task of the organizing Committee of all-Union exhibition "industry of socialism" made a trip to the Urals; the result was a series of drawings "of the home or office Plants" (1936). From 1937 to 1939 and 1940 went to her trips to the farm villages; has created a series of drawings "the collective Farms of Ukraine" and "Selskie steppe". In 1941 he was sent to the Caspian sea, where he drew a series of sketches depicting fishing villages and steppe landscapes ("Caspian Suite", "Astrakhan").

during the great Patriotic war remained in Moscow. Team member graphs of mossh, who published satirical lithographic posters "Windows of mossh", and campaign fliers. Collaborated in the "TASS Windows" and the publishing house "Art", worked on posters, postcards, leaflets. Went to Kalinin and South-Западный fronts; has created a series of sketches and drawings (1942-1943), who in 1944 was awarded the diploma of 1-й extent of the Committee on art Affairs under the Council of people's Commissars of the USSR.

In the postwar years became one of the initiators of the movement for the preservation of ancient monuments, walked over the youth club "Motherland" who assisted in the protection of monuments of culture. Sketched the monuments of ancient Russian architecture planned for the exhibition "Masterpieces of Russian architecture" (published in the album "Monuments of ancient Russian architecture in drawings А. М. Лаптева" Moscow, 1969).

Created a series of drawings "Uglich", "farm series" (1947), portraits of notable workers of the factories of Moscow (1958), Czechoslovakia (1958) and Italy (1956-1962).

Worked in the sculpture of small forms. Performed wooden toys ("Colt", "Carand Ash", both — 1948). In the early 1950-х was fascinated by the sculpture of the roots ("Sancho-Панса and donkey", "don-Кихот").

From 1926 — participant of exhibitions (1-я exhibition of the "Association graphs" in Moscow). A member of the Union of artists of the USSR. Exhibited: exhibition-смотр of young artists (1936), of Moscow artists (1939, 1942, 1947), illustration, illustrations and poster (1940), painting, drawing, sculpture (1941), "Red Army in the struggle with the German-фашистскими invaders" (1943), "the Heroic defense of Moscow in 1941-1942 годах" (1944), all-Union art exhibition (1946), "30 лет of the Soviet armed forces. 1918-1948" (1948), 1-я all-Union exhibition of graphics and posters (1950), books and book graphics Detgiz (1951), "Н. В. Гоголь in the works of Soviet artists" (1952) in Moscow; "Military valour of the Russian people" in Sverdlovsk (1943) and others. The Exhibitor of numerous traveling exhibitions of Soviet art in the Union republics and cities of the RSFSR. Participant of several international exhibitions: international exhibition "Art of book" in Paris and Lyon (1931-1932), "Contemporary art of the USSR" in San-Франциско, Chicago, Philadelphia, new-Йорке (1933), "Soviet graphics" in Bucharest, Helsinki, Prague, Budapest (1950), Soviet fine art in Delhi, Calcutta, Bombay, (1952), "the classical Soviet and Russian art" in Berlin, Dresden, Halle, Budapest (1953-1954), XXVIII international Biennale in Venice (1956). His personal exhibitions were held in Moscow (1940, 1949).

Author of textbooks on drawing "How to draw a horse" (Moscow, 1953), "drawing pen" (Moscow, 1962).

Member of-корреспондент of the USSR Academy of arts, honored art worker of the RSFSR. The artist is devoted to the publication of "Alexey Mikhailovich Laptev" (series "Masters of Soviet art"; M., 1951). The author of the memoirs: "on the way...: notes of a painter" (M., 1972).

a Memorial exhibition of works by Laptev was organized in 1966 in Moscow.

Work is represented in many Museum collections, including the State Tretyakov gallery, the Pushkin Museum im. А. С. Пушкина State Russian Museum and others.