He studied zoology at the University of Vienna, and obtained his doctorate there in 1927. He took up a post at the Natural History Museum in Vienna, in the same year, developing an expertise in pseudoscorpions.
A list of Beier's 398 scientific papers was published, with an obituary, in Annalen des Naturhistorischen Museums in Wien. 252 were on pseudoscorpions. He described and named over 1200 pseudoscorpion species of which 1180 were still valid in 2007.
He was editor of the Orthopterorum Catalogus and an updated edition of the volume on insects in the Handbuch der Zoologie.
Beier was awarded the Fabricius Medal in January 1967 of Deutsche Gesellschaft für Allgemeine und Angewandte Entomologie (German entomology society). In July 1968 he was granted an honorary doctorate by the University of Innsbruck.
- "Dr. Max Walter Peter Beier". Zoologisch-Botanische Datenbank (in German). Oberösterreichische Landesmuseen. December 1980. Archived from the original on 2013-11-11. Retrieved June 1, 2010.
- Mahnert, Volker (1979). "Professor Dr Max Beier (1903–1979)" (PDF). Bulletin of the British Arachnological Society. 5: 115–116. ISSN 0524-4994.
- Alfred Kaltenbach (December 1980). "Hofrat Professor Dr. Max Beier zum Gedenken" (PDF). Annalen des Naturhistorischen Museums in Wien (in German). 83: 763–781. ISSN 0083-6133. JSTOR 41768843. Wikidata Q47036032.
- Mark S. Harvey (21 December 2007). "The smaller arachnid orders: diversity, descriptions and distributions from Linnaeus to the present (1758 to 2007)*" (PDF). Zootaxa. 1668 (1): 363–380. doi:10.11646/ZOOTAXA.1668.1.19. ISSN 1175-5334. Wikidata Q97482889.
- "Fabricius-Medaille - Willkommen!". www.dgaae.de (in German). Retrieved 2022-04-02.
- Mahnert says 6 July, but other sources agree on 4 July
- Beier, Max Walter Peter. In: The International Who's Who 1979–80. (1979)