City were full of confidence after the 4-0 spanking of Aston Villa on Wednesday and would not have expected a helping hand from Blackpool but with only seconds on the clock a crazy backpass from Seasiders captain Charlie Adam - returning after a one-match ban - threatened to gift the hosts the lead.
Tevez, himself back after a one-match absence, his due to injury, fastened on to Adam's carelessness and seemed set to make the Scot pay, but the City skipper delayed his shot for too long and could only drag wide from an angle on the right.
For a while, Blackpool appeared to have heeded their warning as they took the game to their high-flying hosts and began to cause some mischief at the other end, as Taylor-Fletcher collected an Adam pass and forced Hart into a flying save with a 12-yard shot towards the far corner.
But a brief flurry of activity in the City half only seemed to jolt Roberto Mancini's side into action and with Tevez and David Silva at their industrious hub, they began to assert their authority.
Twice Silva drilled shots narrowly off target, once after a glorious give-and-go with Tevez, before the Argentine received Yaya Toure's pass and fizzed a right-foot drive goalwards that forced Richard Kingson into a fine save.
The goal was coming and shortly after the half-hour mark it duly arrived when Taylor-Fletcher could only head a corner as far as Johnson 25 yards out and the England winger hit a low left-foot shot that clipped the heels of Stephen Crainey and flew into the net.
Eastlands breathed a sigh of relief and within two minutes City should have doubled their advantage. Yaya Toure surged into the box down the right and was knocked over by Luke Varney, but Tevez could only roll the spot-kick wide of Kingson's right-hand upright.
Platt relieved to see Man City beat Blackpool
The miss did not reflect Tevez's impact in the game - the striker was causing mayhem with his powerful running and City were beginning to create chances at will as Jerome Boateng shot off target either side of the break.
Blackpool sent on Matt Phillips for the second half and the winger was easily their biggest threat of an equaliser, his pace and directness forcing Mancini to replace Kolarov with Pablo Zabaleta, though Phillips also had the beating of the Argentine as he brought a sprawling stop from Hart.
But Tevez, who scored twice at Newcastle on Boxing Day, was enduring a nightmare in front of goal despite his best efforts to wrap the game up.
He had three fine chances to ease any pressure on City, first curling over from the left after showing great strength to get past his defender, then collecting a Toure pass and rounding Kingson only to slip at the vital moment, before finally firing wide first-time from 12 yards after brilliant work from substitute James Milner.
As the clock ticked down, Blackpool began to believe they could gatecrash City's new year party and Hart had to be at his alert best to fingertip over Neal Eardley's rasping 25-yard piledriver as City joined United at the summit on 41 points.
Man City coach David Platt: "It was hard work and became harder because we didn't take our chances.
"We needed that cushion as we knew they'd keep coming at us.
"With 10-15 minutes left they were in the ascendancy and we were happy when the whistle went. The second goal would have just relieved some tension."
Blackpool manager Ian Holloway: "We couldn't have done any more, either me or the players.
"We managed to contain them, especially compared to our last two games, and we had some great chances ourselves.
"We weren't positive enough in the first half but we believed in ourselves more after and took the game to them. We made a real game of it in the end."
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