The 1963 Henry Ford Centennial Medallion gains its distinction via its oval shape. The bronze medal measures 59 mm (width) x 88 mm (length) x 5 mm (height, at rim) or 2.25 inches (w) x 3.46 inches (l) x 0.20 inches (h).
The bronze medal was struck by the Medallic Art Company of New York - MACO. It has a weight of 260 grams (~9.17 ounces).
In 1963, Ford had the second largest US market share with approximately 25.8% - it produced approximately three million vehicles; General Motors was #1 with a market share of 49.7%. The Company was lead in 1963 by Henry Ford II (Henry Ford's oldest grandson); Henry Ford II rose to President and CEO in 1945 and to Chairman in 1960; he stepped down in March 1980.
There is lots of great information on the medallion, its subject and its designer/sculptor featured on the leaflet panels imaged below. Check 'm out! (I won't repeat the information here.)
From what I've read, the medal appears to have been an appreciation gift to Ford Company employees and others associated with the company to help celebrate the 100th anniversay of the Company's founder - Henry Ford - in 1963. It does not appear that it was sold/offered to the general public.
As with most US commemorative coins from decades past, the medal is often found without its original paperwork. The images below reproduce the original leaflet that accompanied the medal for your reference.
1963 Henry Ford Centennial Medallion
1963 Henry Ford Centennial Medallion - Leaflet




I previously posted about the 1953 Ford Motor Company 50th Anniversary Medal:
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1953 Ford Motor Company