The Italian needed only 1 hour, 14 minutes to breeze past the Czech Republic's Strycova 6-1, 6-3 on the clay courts of the Country Time Club in Sicily.
Errani, the ninth-ranked runner-up at this year's French Open, racked up her sixth career WTA title.
She improved to 3-1 lifetime against Strycova with the triumph.
Gal Gadot cast as Wonder Woman for 'Batman vs. Superman'
Jordana Brewster on Paul Walker: 'He was an enormous presence in my life'