“It’s a dream come true to be the World No.1,” Barty said.
“My team and I have put in so much work and I’m very proud of what we have achieved. It’s an honor to be in this position, which has been held by the legends of our sport who I respect and admire greatly.”
She has now won her last dozen matches, including Paris.
Barty owns six WTA titles in a career which she interrupted to play pro cricket and avoid tennis burnout.
His three from 2019 which also include Dubai and Miami, lead the ATP. “This is amazing,” Federer said. “For some reason I never thought I was gonna make it anymore (to the title).
“Because the second round and quarter-finals were so tough never really thought how it would feel if I won.
“Winning 10 in one place is a very special moment.”
The 37-year-old goes into Wimbledon hot in pursuit of an eighth title at that venue; he joins Rafael Nadal as the only other player with 10 or more honours at the same event.
The victory over Goffin in one hour, 23 minutes ran Federer’s record over the former Top 10 player to 8-1, which also includes a win here in 2016.
Federer ground out the opening set in 52 minutes, running awqy with the tiebreaker to st the one on a hot summery afternoon.
A break to start the second set gave the Swiss even more momentum, with Goffin fading as he lost his final two service games of the contest, setting up a Federer match point with a double-fault.
With ten titles in the bag here, Federer can now look ahead to perhaps managing the same at his home event in Basel, where he owns nine trophies.
Federer becomes the oldest player to win an ATP title Ken Rosewall (aged 43) at 1977 Hong Kong.
Goffin, ranked 33, was playing his first final since November, 2017, at the London year-end event.
Meanwhile at Queen’s Club London, 37 year old Feliciano Lopez became the first wildcard to win the Queen’s singles title since Pete Sampras in 1999
He triumphed over fellow veteran, 34 year old Gilles Simon 6-2,6-7, 7-6 (7-2)
Both players, with a combined age of 71, had come through long matches to reach the final, Lopez having spent five hours on court on Saturday in singles and doubles.
Lopez previously won Queens title in 2017 said “I thought the best moment of my career was when I held this trophy in 2017 but it’s not. It’s right now.”
‘Now my girlfriend knows I’m a decent tennis player!’
Andy Murray and Feliciano Lopez had successful conclusions to their weeks work and late night finishes at the Fever-Tree Championships Queen’s Club, both ending it with victories
Playing competitive tennis for the first time since undergoing a potentially career ending hip operation less than six months ago the next chapter in the Andy Murray story produced a happy ending.
The pair were taken to three sets by Brit Joe Salisbury and American Rajeev Ram, and came out winning 7-6 (8-6) 5-7 10-5.
This was Murray’s first ATP Doubles title since 2011 when he and brother Jamie won in Tokyo
Murray said afterwards “I felt relaxed at the beginning of the week, but felt more nervous as it went on. I think my competitive instincts started kicking in. My hip has felt great, pain-free. I’ll try to keep progressing, but am just happy to be back on the court.”
His playing partner Lopez added “This happens maybe only once in a lifetime. I can’t believe it. I’m so happy for Andy to play with me and we’re so happy he’s back on the tennis court.”