Spurs are level with second-placed United on 23 points after 11 league games, eight points behind league leaders Manchester City.
"It was a special day for me," Son told the club's website. (www.tottenhamhotspur.com) "Park Ji-Sung had the record and he's my idol. He's a legend. He's got everything. I've a lot to do to catch him.
"It's a record which makes me happy. I can enjoy this day but I'm still hungry. I hope I can score many, many goals for Spurs."
Son is likely to feature in South Korea's upcoming friendlies against Colombia and Serbia before league action returns with the north London derby on Nov. 18 as Tottenham travel to Arsenal.
(This story corrects typo in last paragraph)
(Reporting by Aditi Prakash in Bengaluru; editing by Amlan Chakraborty)
