Uniper was saved from financial collapse in 2022 with the help of German taxpayer money, and the state now owns just over 99 percent of the shares.
At the same time, Germany has an agreement with the European Commission to reduce its ownership to a maximum of 25 percent, plus one share, by 2028.
The government in Berlin announced on Tuesday its intention to sell or list the company.
"We are now more stable, more resilient and more clearly strategically positioned," said Michael Lewis, Uniper's CEO, according to CNBC.
In monetary terms, the deal is estimated to be enormous.
The news caused Uniper's shares to rise 13.1 percent on the Frankfurt Stock Exchange on Tuesday.
