Šťastný may refer to any of four members of the Slovak-Canadian hockey family:

• Marián Šťastný (1953 − ), older brother of Peter, who also played as his teammate on the Nordiques for four years.
• Peter Šťastný (1956 − ), an NHL great, who played the majority of his career with the Quebec Nordiques. He ranks 34th all time in NHL points.
• Anton Šťastný (1959 − ), younger brother of Peter, who also played as his teammate on the Nordiques for nine years.
• Yan Stastny (Ján Šťastný) (1982 − ), son of Peter. He began his career in the 2005-06 NHL season.
• Paul Stastny (Pavol Šťastný) (1985 − ), son of Peter. He began his career with the Colorado Avalanche in the 2006-07 NHL season, where he finished second overall among rookies.