The 1879–80 season was Morton Football Club's third season in which they competed at a national level, entering the seventh Scottish Cup.^[1]

  Win   Draw   Loss   Postponed

Morton v Netherlee

27 September 1879 First Round	Morton	7 – 4	Netherlee	Cappielow Park
	Gillespie, , Ramsay, Barrie Barr		, , ,

Arthurlie v Morton

11 October 1879 First Round	Arthurlie	8 – 3	Morton	Dunterlie Park
	, , , , , , ,		, ,

Morton v Arthurlie

18 October 1879 First Round	Morton	2 – 3	Arthurlie	Cappielow Park
	Gillespie		, ,

Morton v John Elder

13 September 1879 Friendly	Morton	1 – 2	John Elder	Cappielow Park
	Gillespie		,

Possil Blue Bell v Morton

13 September 1879 Friendly	Possil Blue Bell	4 – 1	Morton	Hamilton Hill Park
	, , ,		Barr

Morton v Orient

1 November 1879 Friendly	Morton	0 – 2	Orient	Cappielow Park
			,

Morton v Govan

22 November 1879 Friendly	Morton	1 – 2	Govan	Cappielow Park
			Stones, Marshall

Wellington Park v Morton

29 November 1879 Friendly	Wellington Park	0 – 2	Morton	Wellington Park
			Ramsay Richmond

Ladyburn v Morton

29 November 1879 Friendly	Ladyburn	2 – 5	Morton	Ladyburn Park
	,		, , , ,

Morton v Ladyburn

17 January 1880 Friendly	Morton	2 – 1	Ladyburn	Cappielow Park
	Barr Ramsay

Pollok v Morton

14 February 1880 Friendly	Pollok	5 – 1	Morton	Broom Park
	, , , ,

Morton v St. Blane

17 April 1880 Friendly	Morton	5 – 0	St. Blane	Cappielow Park
	, , , ,

Morton v Thornliebank

24 April 1880 Friendly	Morton	0 – 3	Thornliebank	Cappielow Park
			, ,

• Greenock Morton FC official site