From 1958 to 1960 Allan Murdmaa worked in the state design office Eesti Projekt. From 1960 to 1962 he worked as the chief artist of Tallinn. From 1963 to 1968 and 1970 to 1976 Allan Murdmaa worked in the State Art Institute of the Estonian SSR (today's Estonian Academy of Arts). From 1976 to 1981 and 1987 to 1992 he worked in the state design office Eesti Maaehitusprojekt.
Architectural production of Allan Murdmaa consists of numerous standardized projects for apartment buildings, schools, cinemas and many interior designs. In addition Allan Murdmaa has designed numerous monuments across Estonia - monuments of Amandus Adamson, Eduard Vilde, Heino Eller and Oskar Luts, the obelisk of the Tehumardi battle, the memorial of the victims of Stalinist Terror in Rakvere and the memorial of Maarjamäe. Allan Murdmaa was a member of the Union of Estonian Architects.
His notable works include: