Twice down a break in the opening set, Murray worked over Paire's weaker forehand wing to level.
Murray knew victory on Monday would see him qualify for Wimbledon's last eight for the 10th year in a row, but the Scot stumbled in summoning his best efforts on Monday and was pegged back early on in the first set.
The win for Murray makes it ten consecutive years that he has reached the quarterfinals at the Grand Slam. "It wasn't as easy maybe as it looks like". Murray had the brightest of starts, holding to love with the first of only four aces - and Paire began with a pair of aces and two double faults to hold through deuce three times in seven minutes.
Murray and Paire are surprisingly similar in terms of play style.
"There was very little between us today, I was happy to be able to compete and not pay too much attention to the good things she was doing but pay attention to the good things I was doing".
The last time that a British man and woman reached the quarter-finals at Wimbledon was in 1973 when Roger Taylor and Virginia Wade reached the last eight. The most recent match was in this years Australian Open, a match Murray won in straight sets. In fact, the only player to take a set off Paire was his first round opponent, Rogerio Dutra Silva, who is far more comfortable on clay than grass.
Murray will meet Sam Querry in the quarter final on Wednesday. He will next face Canada's Milos Raonic. Especially [Sunday] I think is going to be the best day, that Sunday just when everything is so calm.
The 24th-seeded American beat Anderson 5-7, 7-6 (5), 6-3, 6-7 (11), 6-3. "That's something we've talked about at Wimbledon for the last 10 years", Caroline Wozniacki said. She is playing at the grass-court major for the 20th time in her career.
The Brit, who was noticeably still struggling with some fitness problems, eased past Paire 7-6, 6-4, 6-4 on Centre Court. Halep also advanced Monday, while Pliskova lost in the second round.
Indeed, away from big stadium courts, fans can see title contenders such as French Open victor Jelena Ostapenko taking on fourth-seed Elina Svitolina on Court 12.
Murray, who came into the championships with a niggling hip injury, still seems occasionally uncomfortable and lacking his usual zip around court. 'I would say it's the best day of tennis that you can see, ' says Berdych.
"To be honest, I enjoy watching more men's tennis", she said.
Sixteen matches, every fourth round contested on a single day and every one a victor. Exactly one month ago, the 20-year-old was playing in the French Open final in front of 14,840 spectators on Court Philippe Chatrier. For the first time in the [fourth] round of Wimbledon is also pretty special. However, she won the girls' title at the All England Club in 2014.
"It's equal prize money so why not equal representation on Centre Court and Court number One?" the 1970s great said."Instead of four men's matches and two women's, I would like to see it three and three, and I think any woman would like to see it that way", she told BBC radio. "So I hope I can keep it up".