Muller was World Champion Open Teams (Bermuda Bowl) in 1993 and 2011 and European Champion Open Teams (Tenerife) in 2005. In 2007 he won the bronze medal at both the European Open Team Championships in Antalya and the World Open Teams Championships in Shanghai. He is nicknamed "the professor" because of his habit of very long pauses for thought.
- Bauke Muller international record at the World Bridge Federation.
- Netherlands open team at topbridge.nl (Dutch)
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