"I woke up to more childish vandalism this morning outside the residence and will continue to work with Greek authorities to punish the culprits according to law," ambassador Geoffrey Pyatt said in a tweet.
"Destruction of property is not peaceful protest," he said.
Police said a group of ten persons on motorcycles approached the ambassador's residence and threw paint.
Anarchists in recent days have carried out vandalism attacks in support of a jailed prominent member of the far-left Greek extremist organisation November 17.
Dimitris Koufodinas, the organisation's main hitman who is serving multiple life sentences, went on hunger strike this month after a furlough request was denied.
The group was dismantled in 2002.
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