Brendan Rodgers’s side got the better of St Johnstone 4-0 away from home at McDiarmid Park in Perth in the Scottish Premiership.
Sinclair, who joined the Glasgow giants from Aston Villa in England in the summer of 2016, started the match and played for the entire 90 minutes.
The 28-year-old opened the scoring for Celtic in the 28th minute, as the Hoops won the match 4-0 with ease.
The result against St Johnstone means that Celtic have now broken their own 100-year-old British record of 62 domestic games without defeat.
Celtic winger Sinclair has expressed his delight at his side’s win on Saturday afternoon on Twitter, and has also stated that they have no plans to stop.
The Hoops are the strongest and best team in Scotland, and the former Aston Villa winger’s comment that the Bhoys are not going to top will strike fear into the hearts of their rivals.