Erik Bøgh (17 June 1822 – 17 August 1899) was a Danish journalist, playwright and songwriter. From 1881 to 1899 he worked at the Royal Danish Theatre.

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Bøgh authored the one-act musical comedy Valbygaasen (The Goose of Valby), which was first performed in Copenhagen in 1856.^[1][2][3] Bøgh died in Copenhagen.