Martin Brodeur has put up 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	114	106	54	40	0	15	3,380	3,086	.913	294	2.70	6	6537
3	Tristan Jarry T. Jarry	1	259	248	137	86	0	25	7,420	6,761	.911	659	2.71	19	14580
4	Linus Ullmark L. Ullmark	1	249	240	139	74	0	23	7,389	6,786	.918	603	2.51	8	14405
5	Mike Smith M. Smith	1	670	645	299	263	0	78	19,589	17,869	.912	1,720	2.70	44	38260
6	Pekka Rinne P. Rinne	1	683	667	369	213	0	75	19,225	17,627	.917	1,598	2.43	60	39413
7	Cam Ward C. Ward	1	701	683	334	256	0	88	20,102	18,259	.908	1,843	2.74	27	40319
8	Mika Noronen M. Noronen	1	71	59	23	32	6	0	1,642	1,479	.901	163	2.68	3	3653
9	Evgeni Nabokov E. Nabokov	1	697	683	353	227	29	57	18,398	16,768	.911	1,630	2.44	59	40152
10	Chris Mason C. Mason	1	317	274	137	113	1	31	8,324	7,570	.909	754	2.66	23	17002
11	Jose Theodore J. Theodore	1	648	598	286	254	30	39	17,983	16,348	.909	1,635	2.68	33	36606
12	Chris Osgood C. Osgood	1	744	565	401	216	66	29	18,629	16,861	.905	1,768	2.49	50	42562
13	Damian Rhodes D. Rhodes	1	309	163	99	140	48		8,105	7,285	.899	820	2.84	12	17339
14	Ron Hextall R. Hextall	1	608	64	296	214	69		16,356	14,633	.895	1,723	2.98	23	34739
15	Billy Smith B. Smith	1	679		305	233	105		19,260	17,229	.895	2,031	3.18	22	38369