Premier League: Norwich City 2 Everton 1
The hosts at Carrow Road left it late to pick up an important three points, after Leon Osman's 39th-minute header had given Everton the lead at half-time.
Kamara's header and Holt's tap-in proved to be too much for Everton to handle, despite a resistant defence keeping Norwich out until the late stages of the game.
A defeat for David Moyes' side leaves them six points off of fourth spot, and even though Norwich have won only once in their last 10 fixtures, Chris Hughton's men climb to 12th place.
Robert Snodgrass was denied the first clear chance of the game, when his shot from six yards out was deflected over the bar by Sylvain Distin. Everton hit back immediately though, with Nikica Jelavic forcing Mark Bunn to parry the ball to safety early on.
A great piece of build-up play by Everton saw Jelavic chest down the ball to the feet of Marouane Fellaini, but Michael Turner brilliantly blocked the attacker's shot right on the edge of the penalty area.
The 35th minute saw the game's tempo increase as Bradley Johnson left Fellaini with a nasty looking gash to his knee, but the referee deemed the Belgium international as making the initial foul resulting in Norwich being awarded a free-kick, which Tim Howard easily saved.
Four minutes later Osman broke the deadlock as he found space in the six yard-box to head in Leighton Baines' cross from the left after some great build-up play from Steven Pienaar and Fellaini.
Despite making no changes at half-time, Everton came out the stronger side with Baines and Fellaini testing the Norwich defence in the early moments, although a lack of precise passing in the final third provided no clear chances for the visitors.
Kamara came onto the field just before the 60th minute for Luciano Becchio and made an impact almost immediately after Holt's pass fell to the feet of the January signing, who set himself up with a scissor-kick volley which Howard was forced to save.
Anthony Pilkington made his return in the 70th minute, coming on for Wes Hoolahan, who was kept isolated by the Everton defence. Some good deliveries by Pilkington and Snodgrass gave the home side some hope in the closing stages of the game, but Howard was quick off his line to prevent any clear-cut chances.
Norwich finally got an equaliser in the 84th minute when Kamara got his first Premier League goal for his new side when he got his head onto Snodgrass' corner, jumping above the Everton defence and heading past Howard.
With stoppage time almost over, Norwich captain Holt tapped the ball into an empty with Howard off his line to complete a stunning comeback.