The Rangers also won by a 2-1 score in the season-opener for both teams Saturday. Both games were played in Prague.
Redden and Gomez scored in the second period, eight minutes apart.
Tampa Bay, which was outshot 39-19 in the game, had taken a 1-0 advantage late in the first period on a goal by Adam Hall.
Lightning goaltender Olaf Kolzig totaled 37 saves. The Rangers' Henrik Lundqvist had 18.
Notable deaths of 2014 [PHOTOS]