Brännström is a Swedish surname that may refer to:

Anders Brännström (born 1957), Swedish Army major general Brasse Brännström (real name Lars Erik Brännström; 1945–2014), Swedish actor Erik Brännström, Swedish ice hockey defenceman Gösta Brännström (1926–1997), Swedish sprinter Julia Brännström Nordtug (born 1991), Norwegian politician Katarina Brännström (born 1950), Swedish politician Mauritz Brännström (1918–2006), Swedish cross-country skier Moni Nilsson-Brännström (born 1955), Swedish author