The minister said if the overture was serious it was a welcome development.
The LRA has fought for 19 years. Peace talks were attempted a year ago, but broke down.
On Tuesday, LRA deputy commander Vincent Otti told that the LRA was ready to talk.
He addedd that he would also be willing to go to the international court to face justice, adding that in his view, the government should also face justice for crimes committed in northern Uganda.