The Cambridge-based firm, which was formed at Drupa 2000, was the only printing related firm in the listing.
The ranking was based on the firm's annual sales growth. Inca's figures for 2003 showed a rise of 255% to 11.3m. The 83-staff firm was also profitable, according to the Sunday Times survey.
Inca's latest model, the Spyder 150, is the Product of the Week in the current issue of PrintWeek.