She stated on Friday that there were various forms of consultations with citizens.
"I said that, should political parties agree after thorough research that it is important and necessary for Lithuania to have nuclear energy, we will have to consult the people in one form or another," Grybauskaitė said.
"There are various forms of consultations, including a referendum, should such a decision be made. People's opinion cannot be ignored," said the president.
During a visit to Denmark earlier this week, she said it made sense for Lithuania to have a nuclear power plant, adding that the decision would have to be made by all political parties and a repeated opinion of the population would be necessary.
The new center-left government of Social Democrat Algirdas Butkevičius has pledged that the decision on continuation of the Visaginas nuclear power plant project would be made in mid-May.
The majority of Lithuanian voters did not back the project in a non-binding referendum that was held in tandem with general elections on October 14. Some 34.09 percent of those who cast ballots said "yes" to building a nuclear power plant and 62.68 percent said "no". The voter turnout was 52.58 percent.
The previous center-right government projected to build a new 1,350-megawatt nuclear power plant by 2020-2022.