While Sofacy aimed at stealing data, another campaign named "Sandworm" was also designed to sabotage IT systems, the BfV said in a statement.
"Besides targeting government posts, it was also aimed at telecommunications companies, energy providers as well as higher education facilities," said the agency.
IT experts have said a power failure in parts of Ukraine late last year was down to a "Sandworm" hack.
"The campaigns being monitored by the BfV are generally about obtaining information, that is spying," the agency`s chief Hans-Georg Maassen said in a statement.
"However, Russian secret services have also shown a readiness to carry out sabotage."
The Sofacy attack that last year hit the German lower house of parliament also affected a computer in Chancellor Angela Merkel`s legislative office, local media reported.
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