The team said Friday night that neither player will be ready for Thursday's opener at Minnesota.
Lindor will start the year on the 10-day injured list. He has been recovering from a right calf strain that has limited him during spring training. He has yet to appear in a Cactus League game but has participated in intrasquad minor league games. Potentially frigid weather in Minneapolis is an extra concern for Cleveland.
Kipnis had an MRI on Thursday that confirmed a mild right calf strain. He won't do any baseball activities for seven to 10 days before being re-evaluated.
Outfielder Bradley Zimmer also will open the season on the 10-day injured list. Zimmer had surgery on his right shoulder last July and is still recovering.