It was the first of three straight preseason games between the teams.
Johansson made 42 saves in his debut with Tampa Bay, a 4-0 win against the Carolina Hurricanes on Sept. 29.
Tanner Jeannot and Nick Paul scored for the Lightning.
Sergei Bobrovsky made 20 saves for the Panthers.
Jeannot gave Tampa Bay a 1-0 lead with a power-play goal at 5:24 of the first period, redirecting a Tyler Motte shot past Bobrovsky.
Paul scored during a 5-on-3 power play at 10:46 of the third period for the 2-0 final.