Net profit rose 19 percent in the first three months of the year from the same period in 2015, to €78 million ($89.7 million).
Revenues were up just under nine percent, and Ferrari cut its debt by €15 million to €782 million.
Ferrari delivered 1,882 cars in the quarter, up 15 percent, it said in a statement headlined "Strongest ever Q1, on the way to another record year".
Volume growth was driven by the automaker's eight-cylinder (V8) segment, including two new models, the 488 GTB and the 488 Spider.
Shipments of its V12 models declined by six percent.
Among Ferrari's main world markets, Europe, the Middle East and Africa recorded the highest unit growth at 24 percent, while China, Hong Kong and Taiwan increased by 16 percent.
Shipments to the Americas rose by a comparatively weak two percent.