Terry turned in Frank Lampard's free-kick deep into stoppage time to earn Chelsea a 1-0 triumph at Stamford Bridge abd jeeo the Blues at the top of the Barclays Premier League table.
Terry told BT Sport 1: "Recently dropping points away to West Brom, it's important to pick up three points at home.
"We're top of the league and sitting well. It's down to the others now to catch us."
There was some confusion as to whom Chelsea's match-winning goal should be attributed to, but Terry insisted he definitely got a touch on the ball.
"Great ball from Lamps, (I) just managed to get a touch on it and I think it came off (Everton goalkeeper Tim) Howard in the end as well but (I'm) delighted with the win and the three points," Terry said.
"They made it quite difficult but they're a very good side and playing well under (Roberto) Martinez and it was a tough game today."
Everton manager Roberto Martinez felt the result was unfair on his side and questioned whether the free-kick which led to Terry's winning goal should have been awarded.
The Spaniard also claimed Chelsea were looking to win dead-ball opportunities whenever they could in the second half because they were struggling to create chances from open play.
"It's still a great performance, don't take anything away from what we did. I think in the first half we were, by a mile, the most threatening team," Martinez said.
"In the second half, as you'd expect, a little bit of momentum from Chelsea, but this is one of those situations that the players are trying to buy too many free-kicks and you need a strong referee to see what's clearly a free-kick or not.
"I think it's a very unfair result for us not to get anything out of this game after that performance that we've had."
Assessing the free-kick conceded by Phil Jagielka for his challenge on Ramires that led to the decisive goal, Martinez said: "(In the) second half straight away it becomes a very, very tough game for the referee, every action it seems they are trying to get an advantage from a dead-ball situation, they couldn't get any joy from open play.
"Ramires and 'Jags' go into a situation where it's one v one, one stands his ground and you see the reaction, the way he loses his foot on the ground, it's clearly not because of contact, it's just trying to look for that free-kick.
"It's a shame because until that point we had to defend really well. Overall I couldn't be prouder."