An unknown assailant threw a grenade at the house of the governor of Moldova's central bank overnight.
Moldova's Prosecutor-General's Office said on February 1 that nobody had been hurt.
Bank chief Dorin Dragutanu and his family were asleep when the grenade hit in the early hours.
The blast damaged the building and the incident is being investigated as an act of terrorism.
It is unclear who was responsible for the attack.
Dragutanu tendered his resignation to parliament in September, saying he was being used as a scapegoat by politicians over a banking scandal in which $1 billion disappeared from the country's banking system.
The scandal has caused widespread public anger and the collapse of the government, but there was no indication that the attack was linked to recent protests in the Moldovan capital, Chisinau.
Dragutanu has remained acting central bank governor as a new bank chief has not yet been appointed.
Meanwhile, pro-Russia opposition leaders said on February 1 that protests will resume after a weeklong pause in demonstrations calling for early elections.