Goals from Aaron Wildig, Toumani Diagouraga and Cole Stockton made it four wins in five for the Shrimps.
Although Aaron Hayden scored a late goal for the visitors, it’s now one home defeat in 14 for Morecambe who moved into fourth place in the League Two table.
Adams said: “It was a fantastic win for us, we knew Carlisle would be tough opponents and they proved that.
“I think the way we passed the ball and got it into the runners from midfield caused Carlisle problems all afternoon.
“We were unfortunate not to get a goal early in the game when Carlos (Mendes Gomes) played John O’Sullivan through but the keeper (Paul Farman) makes a fantastic save.
“That started to be the way the game was going to be played and we eventually got the first goal.
“We had some really good openings but we’re just delighted to get the three points.”
With Morecambe having impressed in victory against Crawley Town in midweek, Adams made five changes to his side.
It might have raised some eyebrows among the Morecambe fans watching at home but the alterations paid off.
Victory leaves Adams’ players with 16 wins from 33 games so far, their 55-point haul seeing them four adrift of leaders Cheltenham Town.
“My job is to pick the team for the game,” Adams said of his selection.
“I knew what kind of game it was going to be - physical, a hard battle - and that’s the reason we chose the team today.
“We’ve done really well to pick up the number of points and wins we have this season. With 13 games to go, it’s great.”
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