The proposed new legislation, which still needs to be passed by parliament, would allow new reactors to be constructed at additional locations across Sweden and was seen being in place in March next year.
"We have an obvious need for more electricity production in Sweden," Kristersson told a news conference.
"What we are doing today is changing legislation to allow for the construction of more nuclear reactors at more places."
Any expansion of nuclear power in Sweden could take many years given the complexity of such projects while energy demand is expected to rise sharply in coming years.
Sweden currently has six operational reactors, half of what it once had, and temporary closures for maintenance of some of them have contributed to push up electricity prices in the Nordic country in recent months.