HAMBURG, West Germany (AP) _ Federal authorites raided espionage suspects Thursday and made at least one arrest, the Bild daily newspaper reported.

''Numerous offices and apartments were searched in connection with the operation,'' it said, citing unidentified security experts.

Bild said the raids may have been connected to the arrest of Elke Falk last Friday as a spy suspect. She was working as a secretary in the Federal Ministry for Economic Cooperation in Bonn. Ms. Falk worked in the West German chancellory from 1974 to 1977 and in several ministries in later years.

The brief Bild account, which was to appear in Friday editions, gave no details. It was telexed to other news organizations in advance late Thursday.

Government officials could not be reached for comment immediately.

Ms. Falk is suspected of having worked as a spy for years, according to the Federal Prosecutor's Office.

She is being held in investigative custody and has not yet been charged with any crimes, officials said.

In the last major spy scandal to rock the government, 15 communist agents were arrested or disappeared between August and December 1985.