Martin Brodeur has the most career goals by a goalie, with 2 scored.

most goals by a player by a goalie NHL history

	NAME	G	GP	GS	W	L	T	OTL	SA	SV	SV%	GA	GAA	SHO	MIN
1	Martin Brodeur M. Brodeur	2	1,266	1,024	691	397	105	49	31,709	28,928	.912	2,781	2.24	125	74438
2	Filip Gustavsson F. Gustavsson	1	155	147	77	54	0	18	4,589	4,189	.913	400	2.68	10	8950
3	Ilya Sorokin I. Sorokin	1	240	235	119	85	0	34	7,205	6,602	.916	603	2.58	21	14007
4	Tristan Jarry T. Jarry	1	282	270	147	93	0	29	8,052	7,327	.910	725	2.74	19	15893
5	Alex Nedeljkovic A. Nedeljkovic	1	174	157	72	59	0	27	5,009	4,523	.903	486	3.00	9	9716
6	Linus Ullmark L. Ullmark	1	280	270	155	84	0	26	8,265	7,584	.918	681	2.53	11	16144
7	Mike Smith M. Smith	1	670	645	299	263	0	78	19,589	17,869	.912	1,720	2.70	44	38260
8	Pekka Rinne P. Rinne	1	683	667	369	213	0	75	19,225	17,627	.917	1,598	2.43	60	39413
9	Cam Ward C. Ward	1	701	683	334	256	0	88	20,102	18,259	.908	1,843	2.74	27	40319
10	Mika Noronen M. Noronen	1	71	59	23	32	6	0	1,642	1,479	.901	163	2.68	3	3653
11	Evgeni Nabokov E. Nabokov	1	697	683	353	227	29	57	18,398	16,768	.911	1,630	2.44	59	40152
12	Chris Mason C. Mason	1	317	274	137	113	1	31	8,324	7,570	.909	754	2.66	23	17002
13	Jose Theodore J. Theodore	1	648	598	286	254	30	39	17,983	16,348	.909	1,635	2.68	33	36606
14	Chris Osgood C. Osgood	1	744	565	401	216	66	29	18,629	16,861	.905	1,768	2.49	50	42562
15	Damian Rhodes D. Rhodes	1	309	163	99	140	48		8,105	7,285	.899	820	2.84	12	17339
16	Ron Hextall R. Hextall	1	608	64	296	214	69		16,356	14,633	.895	1,723	2.98	23	34739
17	Billy Smith B. Smith	1	679		305	233	105		19,260	17,229	.895	2,031	3.18	22	38369