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Scottish Football Association Challenge Cup 1897–98 var den 25. udgave af Scottish Football Association Challenge Cup, nu til dags bedre kendt som Scottish Cup. Første runde blev spillet den 8. januar 1898, og turneringen blev afsluttet den 26. marts 1898, hvor Rangers FC vandt finalen over Second Division-holdet Kilmarnock FC med 2-0. Sejren var Rangers FC's tredje i turneringens historie.

Resultater

Runde	Dato	Kamp	Res.
Første runde	8.1.	Rangers FC – Polton Vale FC	8–0
Anden runde	22.1.	Rangers FC – Cartvale FC	12–00
Kvartfinale	5.2.	Queen's Park FC – Rangers FC	1–3
Semifinale	19.2.	Rangers FC – Third Lanark Rifle Volunteers FC	1–1
	26.2.	Third Lanark Rifle Volunteers FC – Rangers FC	2–2
	12.3.	Third Lanark Rifle Volunteers FC – Rangers FC	0–2
Finale	26.3.	Rangers FC – Kilmarnock FC	2–0

Dato	Kamp	Res.
8.1.	Abercorn FC – Hibernian FC	1–1
	Arthurlie FC – Celtic FC	0–7
	Ayr Parkhouse FC – Kilmarnock Athletic FC	2–1
	Bathgate FC – Cartvale FC	2–4
	Bo'ness FC – Queen's Park FC	0–6
	Clyde F.C. – Third Lanark Rifle Volunteers FC	1–3
	Dumfries Hibernian FC – St. Mirren FC	2–7
	Dundee FC – Partick Thistle FC	2–1
	Dundee Wanderers FC – Orion FC	3–2
	Kilmarnock FC – 6th Galloway Rifle Volunteers FC	5–1
	Leith Athletic FC – Port Glasgow Athletic FC	2–0
	Lochee United FC – Heart of Midlothian FC	0–8
	Morton FC – Motherwell FC	7–1
	Raith Rovers FC – East Stirlingshire FC	2–4
	Rangers FC – Polton Vale FC	8–0
	St. Bernard's FC – Dumbarton FC	1–1
Omkampe
15.1.	Dumbarton FC – St. Bernard's FC	1–3
15.1.	Hibernian FC – Abercorn FC	7–1

Seksten hold spillede om otte pladser i kvartfinalerne.

Dato	Kamp	Res.
22.1.	Dundee FC – St. Mirren FC	2–0
	Dundee Wanderers FC – Ayr Parkhouse FC	3–6
	Heart of Midlothian FC – Morton FC	4–1
	Hibernian FC – East Stirlingshire FC	3–1
	Kilmarnock FC – Leith Athletic FC	9–2
	Rangers FC – Cartvale FC	12–00
	St. Bernard's FC – Queen's Park FC	0–5
	Third Lanark Rifle Volunteers FC – Celtic FC	3–2

I kvartfinalerne spillede de otte vindere fra ottendedelsfinalerne om fire pladser i semifinalerne.

Dato	Kamp	Res.
5.2.	Ayr Parkhouse FC – Kilmarnock FC	2–7
	Dundee FC – Heart of Midlothian FC	3–0
	Queen's Park FC – Rangers FC	1–3
	Third Lanark Rifle Volunteers FC – Hibernian FC	2–0

Dato	Kamp	Res.	Spillested
19.2.	Kilmarnock FC – Dundee FC	3–2	Rugby Park, Kilmarnock
19.2.	Rangers FC – Third Lanark Rifle Volunteers FC	1–1	Ibrox Park, Glasgow
Omkamp
26.2.	Third Lanark Rifle Volunteers FC – Rangers FC	2–2	Cathkin Park, Glasgow
Anden omkamp
12.3.	Third Lanark Rifle Volunteers FC – Rangers FC	0–2	Cathkin Park, Glasgow

Dato	Kamp	Res.	Tilskuere	Spillested
26.3.	Rangers FC – Kilmarnock FC	2–0	14.000	2nd Hampden Park, Glasgow