The win put Forest up to fourth and a delighted Davies said: "This team never say die, never, and it was a great three points.
"It wasn't one of our most emphatic wins but away from home we've done very well.
"The Brighton keeper made three or four great saves in the first half and we were disappointed to go in one-nil down.
"At the interval I felt confident we would get the three points and we did so by showing tremendous resilience and wonderful character."
Davies admits he is "very pleased" with his side's points tally so far, but insists he is looking no further than their next game at home to Bournemouth.
He had special praise for two-goal Lansbury and said: "He is a great character, you can see the spirit he plays with. He has a great work ethic and fully deserved his two goals."
Davies had no comment on the altercation which saw Brighton goalkeeping coach Ruben Martinez sent to the stands following a shove on Forest assistant manager Rob Kelly immediately after the sending off of Forest midfielder Nathaniel Chalobah 23 minutes from time.