[2] His elder brother was Karl Friedrich Felix Klindworth (c. 1788-1851),[3] who took over his father's business at the same time to ensure the oppressive obligation for the upkeeping of his mother and siblings, and his younger brother was politician and State Council Georg Klindworth.
Following the traditions of the craftsmen of the University of Göttingen, Carl August Klindworth built mathematical, physical and optical instruments to his establishment in Hanover.
In 1831 he constructed the first 1 HP steam machine of the Kingdom of Hanover for the water supply of the City Hospital in Linden.
[4] In 1836 he founded a machine factory which supplied, among other parts and equipment for fire engines, rolling mills and printing presses.
In the mid-1840s, Klindworth's firma was known in the address book of the city of Hanover as "machine shop and mechanical workshop", and also recommended in 1860 for "spectacles, lorgnettes, theater perspectives, barometers, gold scales, thermometers, etc.