Singles
1979 Custom Credit Australian Indoor Championships
Final
Champion	Vitas Gerulaitis
Runner-up	Guillermo Vilas
Score	4–6, 6–3, 6–1, 7–6
Details
Draw	32
Seeds	8
Events
Singles Doubles
← 1978 · Australian Indoor Tennis Championships · 1980 →

Jimmy Connors was the defending champion but did not compete that year.

Vitas Gerulaitis won in the final 4–6, 6–3, 6–1, 7–6 against Guillermo Vilas.

	Semifinals							Final
	1	Vitas Gerulaitis	6	7
		Francisco González	1	5
								1	Vitas Gerulaitis	4	6	6
								2	Guillermo Vilas	6	3	1
		Kim Warwick	4	6	1
	2	Guillermo Vilas	6	3	6

	First round							Second round							Quarterfinals							Semifinals
	1	V Gerulaitis	4	6	7
		M Edmondson	6	2	5			1	V Gerulaitis	6	6
	Q	A Gardiner	4	2					T Rocavert	1	2
		T Rocavert	6	6											1	V Gerulaitis	6	6
		J Newcombe	6	6												J Newcombe	1	3
		R Case	3	1					J Newcombe	6	6
		S Menon	3	5				5	V Amritraj	4	4
	5	V Amritraj	6	7																		1	V Gerulaitis	6	7
	LL	C Fancutt	3	1																			F González	1	5
		A Stone	6	6					A Stone	3	5
		F González	7	2	6				F González	6	7
		R Frawley	5	6	3											F González	6	6
		D Collings	6	4	7											D Collings	1	4
		K Rosewall	2	6	6				D Collings	7	5	6
		B Drewett	3	6	1			7	G Masters	6	7	2
	7	G Masters	6	3	6

	First round							Second round							Quarterfinals							Semifinals
	8	T Gorman	7	3	6
		C Kachel	5	6	3			8	T Gorman	6	2
		J James	1	3					K Warwick	7	6
		K Warwick	6	6												K Warwick	6	4	6
		P Dent	6	3	6											P Dent	3	6	0
		P Kronk	2	6	3				P Dent	6	6
		M Mitchell	6	6	6				M Mitchell	3	2
	3	P Du Pré	7	2	2																		K Warwick	4	6	1
	6	P Feigl	6	6																		2	G Vilas	6	3	6
		G Hardie	3	3				6	P Feigl	7	6
		E Montaño	6	6					E Montaño	5	3
		J Marks	4	3											6	P Feigl	6	5
	Q	D Crealy	4	3											2	G Vilas	7	7
		C Drysdale	6	6					C Drysdale	2	4
		C Letcher	4	2				2	G Vilas	6	6
	2	G Vilas	6	6

• 1979 Custom Credit Australian Indoor Championships draw