The minister plans to raise the issue at EU foreign ministers' videoconference on Friday.
"We don't want yet another statement of concern; we want action," Linkevicius told BNS.
"Officials who used excessive force must feel responsible, so I'll suggest imposing individual sanctions on officials and politicians who are directly responsible for the use of force against peaceful demonstrators and vote fraud," he said.
The minister said he would also propose to launch a EU fund to support of the victims of repressions in Belarus.
Linkevicius also said he would present Lithuanian President Gitanas Nauseda's plan to resolve Belarus crisis to his colleagues.
The plan calls for forming a national council from the government and civil society representatives.