Unic was founded by Georges Richard after he left Richard-Brasier. In 1905 Richard had a meeting with the entrepreneur-financier Baron Henri de Rothschild and obtained funding for the creation of the "société anonyme des automobiles Unic", based at Puteaux. The objective was to manufacture "unique" (rather than mainstream) vehicles, and at the start the company made only light cars and taxis with two-cylinder and four-cylinder engines.
The taxi business would remain important to Unic for more than three decades, while Rothschild's steady financial support through good times and bad, provided stability which sustained the business, critically during the immediate post-war years.
Although the manufacturer's initial range was restricted to light cars, their popularity as taxis led to the production of delivery vans and other small utility style vehicles.The 1943 cc 12 CV (9 kW) four-cylinder model (used mainly as a taxi) was extremely successful and survived in production for nearly 20 years. (The engine was enlarged later to 2120 cc.) During World War I, taxis made by the company participated in the Marne operation. After World War I, a new four-cylinder (1847 cc) was offered, along with the taxis.