Osvald Käpp (17 February 1905 – 22 December 1995) was an Estonian wrestler who competed in freestyle and Greco-Roman lightweight events at the 1924, 1928 and 1932 Summer Olympics.

In 1929, during the Great Depression, he immigrated to New York City, and won the AAU Greco-Roman (1929) and freestyle titles (1930–31).

He retired in 1931, but was convinced to compete in the 1932 Summer Olympics, as Estonia could not afford sending an Olympic team to Los Angeles and was recruiting Estonians living in the United States (only Käpp and Alfred Maasik agreed).

Lack of preparation took its toll, and Käpp was eliminated after three rounds in both freestyle and Greco-Roman wrestling.

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