Hallmark Cards is a private and family owned American company based in Kansas City and Missouri. Founded in 1910. In 1985 the company was awarded the National Medal of Arts. Hallmark also manufactures such products as party goods and gift wrap and stationery.Hallmark Cards is a private and family owned American company based in Kansas City and Missouri. Founded in 1910. In 1985 the company was awarded the National Medal of Arts. Hallmark also manufactures such products as party goods and gift wrap and stationery.