The 21-year-old Coric came from two sets to one down to defeat the 20-year-old debutant Tiafoe 6-7(0), 6-1, 6-7(11), 6-1, 6-3 and finally subdue a remarkable fightback from the Americans, who had earlier levelled the tie 2-2 from two down.
Not since Croatian Goran Ivanisevic beat Australian Pat Rafter in 2001 has there been a final featuring two players adopting the serve-and-volley style once deemed mandatory.
Images from the matches played on Day eight of the 2018 Australian Open at Melbourne Park on Monday
World number one Novak Djokovic wore down his old foe Andy Murray in a typically grueling encounter under the lights at Flushing Meadows to reach the semi-finals of the U.S. Open.
IMAGES from the matches played during the Wimbledon Championships at the All England Lawn Tennis and Croquet Club, at Wimbledon in London on Thursday
Poland's world number four Agnieszka Radwanska breezed past Spaniard Larra Arruabarrena 6-0, 6-2 in the semi-finals of the Korea Open on Saturday to set up a title clash with Russia's Anastasia Pavlyuchenkova.
Novak Djokovic overcame a battling Marin Cilic 6-4, 3-6, 6-3 to reach his sixth Cincinnati Masters final on Saturday while Roger Federer enjoyed a less-taxing route to the title match after his semi-final opponent David Goffin retired with a shoulder injury.
Summary of sports events and persons who made news on Saturday
In the first women's final played under the Centre Court roof, a high-quality first set gradually built towards a captivating conclusion after both players began with two comfortable service holds.
Spain's Garbine Muguruza reached her second Wimbledon final in three years with a thumping 6-1, 6-1 win over Slovakia's Magdalena Rybarikova.
PHOTOS from day seven of the Wimbledon championships at the All England Lawn Tennis and Croquet Club in London on Monday
Since Andy Murray's memory is as razor sharp as his service returns, he will not have forgotten the parting shot he received from Milos Raonic when they last played.
Federer has been brandishing an aggressive style of play, forcing the action and rushing in to half-volley weak second serves to forge an advantage.
Top seed Somdev Devvarman won his match against Jordi Samper Montana of Spain via a walkover to set up a semi-final clash with his Indian compatriot Yuki Bhambri in the $50,000 ATP Challenger Tennis tournament in Chennai on Thursday.
The SABR may have also been the catalyst for the improvement in Roger Federer's backhand that was so instrumental in helping him to Australian Open victory at the start of this year, and looks set to spearhead his assault on Wimbledon.
The 20-year-old became the youngest semi-finalist at Melbourne Park since American Andy Roddick, also 20, at the 2003 tournament.
A look at the form and records of the four men's semi-finalists at the US Open.
Rafael Nadal began his year in perfect fashion with a three-set victory over Frenchman Gael Monfils in the Qatar Open in Doha on Saturday as he warms up for this month's Australian Open.
Fifth seed Simona Halep of Romania took advantage of an error-prone display by American Madison Keys to claim her 14th WTA title with a 7-6(2), 6-3 victory in the Rogers Cup final in Montreal on Sunday.
Novak Djokovic maintained his unbeaten record against Frenchman Gael Monfils with a 6-3, 6-2 win in the semi-finals of the Rogers Cup in Toronto on Saturday, while Japan's Kei Nishikori also reached the final after beating Swiss second seed Stan Wawrinka.
Rafael Nadal's return to action came to a shuddering halt on Friday when the Spaniard was beaten by Slovakia's Martin Klizan in a late-night quarter-final duel at the China Open.
Maria Sharapova's claycourt season got off to a poor start on Tuesday as she lost in three sets to Caroline Garcia in the first round of the Porsche Tennis Grand Prix in Stuttgart.
Roger Federer continued his sizzling form on Saturday to set up an all-Swiss final against Stan Wawrinka at the BNP Paribas Open in California.
Angelique Kerber, who will reclaim the world number one ranking on Monday, breezed to a 6-2, 6-1 second-round victory over fellow German Andrea Petkovic at the BNP Paribas Open on Saturday.
Wimbledon's grass is slower than when Sampras and all the classic serve-volley specialists ruled the roost and, though it still offers a lower bounce than clay or the hard courts that dominate the circuit, it seems that the difference is becoming marginal.
Images from Day 4 of the French Open, at Roland Garros, in Paris.
A summary of Friday play at the French Open.
IMAGES from the French Open semi-finals played at Roland Garros on Friday
Images from Day 2 of the Australian Open in Melbourne on Tuesday
Top seed Stanislas Wawrinka dismantled the challenge of a rampaging Aljaz Bedene with ease as the Swiss World No. 4 retained the Chennai Open title with a straight sets win in the summit clash.
Top seed Caroline Wozniacki and Venus Williams advanced to the Auckland Classic quarter-finals and kept alive the hopes of an anticipated final between the pair in dramatically contrasting circumstances on Wednesday.
Former champion Stanislas Wawrinka lived up to his top billing by cruising into the summit clash of the ATP Chennai Open here, where he will take on seventh seed Edouard Roger Vasselin of France.
Roger Federer advanced to his 12th Australian Open semi-final on Tuesday with an efficient 7-6(4), 6-2, 6-4 victory over sixth seed Tomas Berdych.
Having let three match points slide in the fourth set against Roger Federer on Centre Court, Marin Cilic may be forgiven for wanting to rewind the video and replay the key moments again. His Swiss conqueror snatched a pulsating fourth-set tiebreak 11-9 before winning 6-7(4) 4-6 6-3 7-6(9) 6-3 to reach his 11th Wimbledon semi-final and keep up the tilt for an eighth title.
Unseeded Sloane Stephens got the better of fellow-American Venus Williams in a thrilling contest to make it to her first Grand Slam final, at the US Open, in New York, on Thursday.
Venus Williams crushed Frenchwoman Alize Cornet 6-3, 6-0 in the final of the Dubai Championship on Saturday, the veteran American bagging her first singles title since 2012.
Manika Batra cruised to the semi-finals of the women's singles even as experienced paddler Mouma Das ended her campaign in the Commonwealth Games table tennis event.
Hit hard. Don't give up. Just do it!
Having dug in early on to stay with Federer, Nishikori ended up running away with the match to inflict a first straight sets defeat in the ATP Finals round-robin stages on the 20-time Grand Slam champion.
Andy Murray took to Melbourne Park's centre court as top seed at a grand slam for the first time in his career on Monday but the recently knighted Briton's victory over Illya Marchenko was far from a regal display.
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