The seventh-seeded Errani needed just over an hour to brush aside Cibulkova on the outdoor clay court where she also won in 2011 and 2009. Errani was the runner-up in 2010.
Errani took advantage of Cibulkova's shaky serve and seven double faults to break the Slovak player six times in route to victory.
It was Errani's second title of the year after her triumph in Acapulco in February.