| 1934 | Born 24 November in Engels, Saratov district |
| 1946 | Schnittke family moves to Vienna; Alfred begins to study piano |
| 1948 | Enrols as choral major at October Revolution Music School, Moscow |
| 1953-8 | Studies at Moscow Conservatoire with Golubev, Rakov, and Gershkovich |
| 1957 | First Violin Concerto |
| 1958 | Nagasaki oratorio |
| 1968-61 | Post-graduate studies at Moscow Conservatoire |
| 1959 | Songs of War and Peace cantata |
| 1960 | Piano Concerto |
| 1961 | Poem about Cosmos for orchestra |
| 1961-72 | Teaches at Moscow Conservatoire |
| 1962 | The Eleventh Commandment, 2-act opera |
| Children's Suite for small orchestra | |
| 1963 | First Violin Sonata |
| Prelude and Fugue for piano | |
| 1964 | Music for fortepiano and chamber orchestra |
| 1965 | Dialogues for cello and seven instrumentalists |
| Improvisation and Fugue for piano | |
| Variations on One Chord for piano | |
| 3 Verses of Marina Tsvetayeva for mezzo and piano | |
| 1966 | First String Quartet |
| Second Violin Concerto | |
| 1968 | Second Violin Sonata, |
| Quasi una sonata (see also 1987) | |
| Pianissimo for large symphony orchestra | |
| Sonata for violin and chamber orchestra (arr. First Violin Sonata, 1963) | |
| Serenada for violin, clarinet, double-bass, piano and percussion | |
| 1969 | Stream, electronic composition |
| 1969-72 | First Symphony |
| 1971 | Concerto for oboe, harp and string orchestra |
| Labyrinths, ballet | |
| Canon in memoriam Igor Stravinsky for string quartet | |
| Four Pieces for piano | |
| 1972 | Voices of Nature for ten female voices and vibraphone |
| Suite in Old Style for violin and piano (or harpsichord | |
| 1972- | Teaches at Tchaikovsky Conservatory, Moscow |
| 1972-76 | Piano Quintet |
| 1972-8 | In Memoriam for orchestra (arr. Piano Quintet) |
| 1974 | Hymns I-III for cello and chamber combinations |
| 1974-9 | Hymn IV |
| 1975 | Preludium in Memoriam D Shostakovich for two violins |
| Cantus Perpetuus for keyboard instrument and percussion | |
| Requiem (after Schiller), for soloists, mixed chorus and ensemble | |
| 1976 | Song of Francis of Assisi for two mixed choruses and 6 instrumentalists |
| Moz-Art for two violins | |
| 1977 | First Concerto Grosso |
| Moz-Art à la Haydn for two violins and eleven strings | |
| 1978 | Third Violin Concerto |
| Cello Sonata | |
| Silent Night for violin and piano | |
| 1979 | Second Symphony, "St Florian" |
| Concerto for piano and string orchestra | |
| Stille Musik for violin and cello | |
| 1979-80 | Passacaglia for large symphony orchestra |
| 1980 | Second String Quartet |
| Three Madrigals | |
| Two Short Pieces for organ | |
| 1980-1 | Minnesang for 52 voices |
| 1981 | Third Symphony |
| 1981-2 | Septet |
| Second Concerto Grosso | |
| 1982 | A Paganini for violin solo |
| 1983 | Seid Nachtern und Wachet, cantata |
| Third String Quartet | |
| Schall und Hall for trombone and organ | |
| 1984 | Fourth Symphony |
| Fourth Violin Concerto | |
| 1984-5 | Ritual for large symphony orchestra |
| Concerto for soprano and mixed chorus | |
| 1985 | Third Concerto Grosso |
| (K)ein Sommernachtstraum for symphony orchestra | |
| Viola Concerto | |
| String Trio (arr. for chamber orchestra as Trio Sonata, 1987) | |
| Music to an Imagined Play | |
| Othello, ballet | |
| 1985-6 | First Cello Concerto |
| 1986 | Peer Gynt, ballet |
| 1987 | Quasi una sonata for violin and chamber orchestra |
| 1987-8 | First Piano Sonata |
| 1988 | Fifth Symphony/Fourth Concerto Grosso |
| Concerto for piano four hands and chamber orchestra | |
| Piano Quartet in A minor (after Mahler) | |
| 3 Verses of Viktor Schnittke for voice and piano | |
| 4 Aphorisms for chamber orchestra | |
| 1988-1993 | Historia von D Johann Fausten, opera |
| 1989 | Monologue for viola and chamber orchestra |
| Fourth String Quartet | |
| 3 x 7 for seven instruments | |
| 1990 | Second Cello Concerto |
| 3 Fragments for harpsichord | |
| Moz-Art à la Mozart for harp and eight flutes | |
| Second Piano Sonata | |
| 5 Aphorisms for piano | |
| Madrigal in Memoriam Oleg Kagan for violin solo | |
| 1991 | Fifth Concerto Grosso |
| Festive Cantus for the 60th Birthday of G Rozhdestvensky | |
| 1990-1 | Life with an Idiot, opera |
| 1992 | Agnus Dei for two sop, female ch, and chamber orchestra |
| Piano Trio | |
| Nostalgia for cello and piano | |
| 1993 | Sixth Symphony |
| Seventh Symphony | |
| Sixth Concerto Grosso | |
| Third Piano Sonata | |
| Improvisation for solo cello | |
| Hommage to Dr Zhivago | |
| Hommage to Grieg for orchestra | |
| 1993-95 | Gesualdo, opera in seven acts |
| 1994 | Eighth Symphony |
| Triple Concerto for violin, viola, cello and string orchestra | |
| Symphonic Prelude For Liverpool for orchestra | |
| Second Cello Sonata | |
| Third Violin Sonata | |
| Percussion Quartet | |
| 5 Fragments to Pictures of Hieronymus Bosch Menuet for violin, viola and cello | |
| 1998 | Dies 3 August in Hamburg |