The way he dug deep to subdue Tsonga's onslaught after surrendering a two-set lead spoke volumes for Murray's refusal to buckle in the face of adversity - a characteristic exemplified by a formidable 23-7 record in matches that have gone the five-set distance.
Tsonga was fearless on Centre Court on Wednesday, rallying from two sets down to stun Murray before eventually succumbing 7-6 (12-10) 6-1 3-6 4-6 6-1.
But this was his most serious examination yet, a proper test and a close encounter of the intense kind.
Murray had three break points at 4-3 in the fourth set, meaning he was one point away from serving for the match.
The Frenchmen went on to claw back the next two sets to level the match at two apiece in front of the roaring crowds on Centre Court, but it was all to no avail in the end, as the final set saw Murray once again find his best form.
The win also made him the most successful player, man or woman, at the majors as he chalked up a record 307th singles win.
He emerged for the fifth set with energy renewed. Whether it was the dust, the lack of atmosphere or just the long wait while Federer played, he seemed distracted and it took him time to settle.
Charles Dance - Game of Thrones' Tywin Lannister to many people - said he had "every confidence" in Murray, adding: "I'm gunning for him, of course I am". This is his 11th Wimbledon, so you would think there would be few new things left for him to experience. It can help to go through games, stages and matches that are challenging so that if you're in that position in the next couple of matches, you've been there.
"The prematch stuff, the work that you do in preparation for the matches, is where you get the big benefit".
"That's why it's important to try to use the crowd to your advantage, because they do make a difference".
"I do feel there's a benefit. They got two pretty good matches, as well, I think".
The Scot has won their last four meetings. The 29-year-old took control of the final set. So, for sure, he can help when I'm on the court a little bit, just his presence.
"I think at the beginning, he was a bit more defensive, playing a little bit more just waiting for what the opponent's going to do" said the 30-year-old Czech.
"Obviously he's a big powerful guy who serves well and when he is dictating the points, he hits a big, big ball".
Murray's first problem of the quarter-final was to get grit out of his right eye.
Along with partner Bruno Soares, the number three seeds lost 6-4, 6-4, 6-7, 6-7, 10-8 to Julien Benneteau and Edouard Roger-Vasselin.
Czech Berdych ended Frenchman's Lucas Pouille's unexpected love-affair with Wimbledon, grinding out a 7-6 6-3 6-2 win to reach his sixth grand slam semi-final.
However, the effects of a five-hour tussle in the previous round might have been the telling difference.
Federer won the third set 6-3 after losing the first two 7-6 (4), 6-4.
Murray's fiancée - now wife - Kim Sears was caught on camera apparently swearing at the Berdych team following a Murray break of serve, betraying the animosity between the two camps.
Andy Murray and Roger Federer will look to reach the Wimbledon final on Friday and preserve the iron grip of the sport's "Big Four" which has endured since 2003.
American Sam Querrey eliminated his nemesis Novak Djokovic in round 3, which leaves Murray as one of the heavy favorites to win the tournament. The world number two continued to look strong and determined and the momentum shifted firm the Brit's way.
He huffed and puffed but Jo-Wilfried Tsonga said the finish line was too far as he narrowly lost out to Andy Murray in the Wimbledon quarter-finals.