A method of producing an N-demethyl-N-
isopropyl-8,9-anhydroerythromycin A-6,9-
hemiacetal or a salt thereof, characterized in that an N-demethylerythromycin A or a salt thereof is reacted with an isopropylating agent and subsequently treated under acidic conditions, and a method of producing a substantially
pure crystal of an 8,9-anhydroerythromycin A-6,9-
hemiacetal derivative represented formula (VI): wherein R1 and R2, whether identical or not, represent an
alkyl having 1 to 6 carbon atoms, an alkenyl having 2 to 6 carbon atoms or an alkynyl having 2 to 6 carbon atoms; R3 represents
hydrogen or a hydroxyl group; one of R4 and R5 represents
hydrogen and the other represents a hydroxyl group, or R4 and R5 bind together to represent O=; R6 represents
hydrogen or a hydroxyl group that may be substituted for; R7 represents hydrogen or a hydroxyl group; or a salt thereof, characterized in that a crude
crystal of said 8,9-anhydroerythromycin A-6,9-
hemiacetal derivative or a salt thereof is recrystallized as a
solvation product from hydrated isopropanol.