Ludvig is a Scandinavian given name, the equivalent of English Lewis or Louis, and may refer to:
In politics:
Anton Ludvig Alvestad, Norwegian politician for the Labour Party
Christian Ludvig Diriks, Norwegian Minister of Auditing and Minister of Postal Affairs
Christofer Rutger Ludvig Manderström, Swedish - Norwegian Minister of State for Foreign Affairs
Fredrik Ludvig Konow, Norwegian Minister of Finance
Johan Ludvig, Danish Minister of state
Ludvig Almqvist, Swedish politician
Ludvig Aubert, Norwegian Minister of Justice
Ludvig Daae (politician), Norwegian politician for the Liberal Party
Ludvig Holstein-Holsteinborg, Danish politician
Ludvig Holstein-Ledreborg, Danish politician
Ole Ludvig Bærøe, Norwegian politician for the Conservative Party
In literature:
Johan Ludvig Heiberg, Danish poet and critic
Johan Ludvig Runeberg, Finland-Swedish poet
Ludvig Bødtcher, Danish lyric poet
Ludvig Holberg, Danish-Norwegian writer and playwright
Peder Ludvig Møller, Danish literary critic
In other fields:
Ludvig G. Braathen, Norwegian shipping magnate and founder of the Braathens airline
Ludvig Engsund (born 1993), Swedish ice hockey goaltender
Ludvig Faddeev, Russian theoretical physicist and mathematician
Ludvig Gade, Director of Royal Danish Ballet 1877–1890
Ludvig Hektoen, American pathologist
Ludvig Mylius-Erichsen, Danish explorer
Ludvig Nobel, Swedish engineer, businessman and humanitarian
Ludvig Schytte, Danish composer, pianist, and teacher
Ludvig Strigeus, Swedish programmer
Carl Ludvig Engel, German architect
Ernst Ludvig Ipsen, American portrait painter
Harald Ludvig Westergaard, Danish statistician and economist
Nada Ludvig-Pečar, Croatian composer