Jørgen Møller (sometimes Jorgen Moeller or Jörgen Möller) (4 November 1873 - 20 November 1944) was a Danish chess master.
Møller was twice a Nordic Champion, winning at Copenhagen 1899 (2nd Nord-ch) and at Göteborg 1901 (3rd Nord-ch).
At the beginning of his career, he tied for 4-5th at Copenhagen 1895 (Andreas Rosendahl won), took 2nd, behind Sven Otto Svensson, at Stockholm 1897 (1st Nordic-ch), and took 4th at Copenhagen 1907 (6th Nord-ch, Paul Leonhardt won).
His name is attached to the Møller Attack in the Giuoco Piano (1.e4 e5 2.Nf3 Nc6 3. Bc4 Bc5 4.c3 Nf6 5.d4 ed4 6.cd4 Bb4+ 7.Nc3 Nxe4 8.O-O Bxc3 9.d5) and the Møller Defense in the Ruy Lopez (1.e4 e5 2.Nf3 Nc6 3. Bb5 a6 4.Ba4 Nf6 5.O-O Bc5).
Møller was born 4 November 1873 in Otterup, Denmark, and died 20 November 1944 in Copenhagen.