The 1891–92 season was the fourth season of football by Celtic.
This marked the second season where Celtic took part in the Scottish Football League, in which they placed second, just two points below champions Dumbarton.
They also competed in the Glasgow Merchants Charity Cup, Glasgow Cup and Scottish Cup, which they won for the first time.
The final at Ibrox Park, which was originally won 1-0 by Celtic against Queen's Park, was mutually protested by both teams and so it was replayed, this time with Celtic winning 5-1.
This was the first major domestic honour won by Celtic.