Yes, the U.S. Mint produced three-cent coins in two distinct varieties: the Three-Cent Silver (1851-1873) and the Three-Cent Nickel (1865-1889). The three-cent coin was first introduced in 1851 as an answer to postage rates decreasing from five cents to three and the need for a small-denomination coin that could be easily exchanged for foreign coins accepted in the U.S. at the time. Three Cent Silver coins were produced from 1851 to 1873, while Three Cent coins composed of nickel were produced from 1865 to 1889.
The fascinating history of these coins reveals their practical origins and wartime adaptations. The 3-Cent silver piece was initially produced with low-grade silver content, though it was increased to 90% silver in 1854. Meanwhile, Three-piece Nickels were issued to help mitigate the hoarding of silver coins during the American Civil War.