Federer gave Switzerland a perfect start in the final against Germany by coming from a set down to beat world No.4 Alexander Zverev 6-7 (4-7) 6-0 6-2 on Saturday night.
Switzerland secured the title by winning the Fast4 mixed doubles 4-3 (5-3) 4-2.
Federer was just 19 when he won the Hopman Cup in 2001 alongside then world No.1 Hingis.
Since then, he has won a record 19 grand slams to cement himself as a legend of the sport.
Federer paid tribute to the influence Hingis had on paving the way for his decorated career.
"She had a great career and to have that in a small country like Switzerland is very rare," Federer said.
"I could look up to her and think, 'Wow, how is she being so mentally strong and so consistent at such a young age and I can't do that yet in practice and in the matches, let alone week in week out'.
"It made me also believe with hard work and dedication you get really far, because I didn't believe that much at that point when I was younger, I thought it was more all talent."
Switzerland now have three Hopman Cup titles to their name.
Germany have two - their last coming in 1995 when Boris Becker and Anke Huber beat Ukraine in the final.
A record attendance of 106,424 fans attended this summer's Hopman Cup.
The previous record was 104,468 set back in 2013.
Federer won all four of his singles matches at the Hopman Cup, and is full of confidence heading into his Australian Open defence.