Alexandar Vladigerov graduated from the State Academy of Music in 1956 where he studied Conducting with Professor Vladi Simeonov and Piano and Composition with his father. He specialised for two years with Natan Rahlin, chief conductor of the Kiev Philharmonic. Since 1958 he was conductor of the Philharmonic Orchestras in Pleven, Plovdiv and Ruse and since 1969 to the end of his life of the Bulgarian National Radio Symphony Orchestra. He toured Europe, Japan and Cuba. He made multiple performances and gramophone recordings of the stage and symphony works of Pancho Vladigerov.

He composed three musical plays for children, which became very popular and were frequently performed; works for symphony orchestra; chamber works and songs. His piano works were prize-winning at the international composition competitions in Warsaw, Moscow (1955) and Bolzano, Italy (1957).

Stage music:
Musical plays:

The Little Red Riding Hood (vocal-symphonic fairytale) (1969, Ruse);
The Cheerful Town Musicians (1971, Sofia);
The Wolf and the Seven Kids (1973, Sofia).

Works for symphony orchestra:
Youth March (1948);
Rondo concertante for violin and orchestra (1955);
Romanian Dance (1960);
The Little Red Riding Hood – symphonic fairytale for reader and orchestra (1968);
Suite from the musical play The Cheerful Town Musicians for reader and orchestra (1971);
Suite from the musical The Wolf and the Seven Kids (1973), etc.

Chamber works:
Eight Pieces for wind ensemble (1970);
Romantic Poem for violoncello and piano (1984).

Works for piano:

Dilmano, Dilbero Variations (1954);
Toccata (1955);
Music Alphabet, etc.