The 1877–78 season was Morton Football Club's first season in which they competed at a national level, entering the fifth Scottish Cup.^[1]

  Win   Draw   Loss   Postponed

Barrhead v Morton

29 September 1877 First Round	Barrhead	7 – 0	Morton	Beaconsfield Park
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Morton v Possil Park

22 September 1877 Friendly	Morton	0 – 2	Possil Park	Garvel Park
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Morton v Renfrew Ramblers

3 November 1877 Friendly	Morton	1 – 0	Renfrew Ramblers	Garvel Park

Wellington Park v Morton

10 November 1877 Friendly	Wellington Park	1 – 2	Morton	Wellington Park
	Richmond		Blake MacGuire

Port Glasgow Athletic v Morton

1 December 1877 Friendly	Port Glasgow Athletic	0 – 3	Morton	Devol Farm
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Morton v Port Glasgow Athletic

26 January 1878 Friendly	Morton	1 – 0	Port Glasgow Athletic	Garvel Park

Morton v Derby

9 March 1878 Friendly	Morton	0 – 3	Derby	Garvel Park
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Morton v Kelvinside

16 March 1878 Friendly	Morton	3 – 0	Kelvinside	Garvel Park
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Morton v Greenock Ramblers

23 March 1878 Friendly	Morton	5 – 0	Greenock Ramblers	Garvel Park
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• Greenock Morton FC official site