Wayne Gretzky has the most career Hart Trophies + Lady Byng Trophies, with 14.

Interpreted as:

most hart trophies + lady bing trophies by a player

	NAME	HART+BYNG	HART	BYNG	GP	G	A	P	+/-	PIM	PPG	PPA	SHG	SHA	GWG	OTG	S	S%	FOW	FO	FOW%	HIT	BKS	TKA	GVA	TOI/GP
1	Wayne Gretzky W. Gretzky	14	9	5	1,487	894	1,963	2,857	+520	577	204	686	73	76	91	2	5,088	17.6
2	Frank Boucher F. Boucher	7	0	7	557	160	264	424		110	8	19	1	0	25	5
3	Gordie Howe G. Howe	6	6	0	1,767	801	1,049	1,850	+160	1,685	211	353	24	12	121		3,803	10.1
4	Pavel Datsyuk P. Datsyuk	4	0	4	953	314	604	918	+249	228	97	233	6	5	51	8	2,244	14.0	7,444	13,822	53.9	635	422	1,134	665	18:52
5	Martin St. Louis M. St. Louis	4	1	3	1,134	391	642	1,033	+37	310	101	216	29	17	66	10	2,884	13.6	352	854	41.2	420	605	810	799	20:30
6	Stan Mikita S. Mikita	4	2	2	1,396	541	926	1,467	+329	1,264	150	312	12	6	84		4,482	12.1
7	Red Kelly R. Kelly	4	0	4	1,316	281	542	823	+50	327	71	161	15	13	41		1,387	9.0
8	Eddie Shore E. Shore	4	4	0	551	105	179	284		1,099	2	24	1	1	22	2
9	Connor McDavid C. McDavid	3	3	0	721	362	731	1,093	+165	278	88	281	8	10	72	16	2,432	14.9	3,978	8,336	47.7	535	282	665	664	21:45
10	Anze Kopitar A. Kopitar	3	0	3	1,459	440	842	1,282	+110	348	124	324	14	14	78	9	3,338	13.2	14,549	27,243	53.4	1,274	1,038	834	943	20:47
11	Alex Ovechkin A. Ovechkin	3	3	0	1,500	899	731	1,630	+64	833	326	279	5	1	137	27	6,884	13.1	64	190	33.7	3,762	563	785	1,199	20:36
12	Mario Lemieux M. Lemieux	3	3	0	915	690	1,033	1,723	+114	834	236	465	49	22	74	11	3,633	19.0	1,414	2,865	49.4	52	45	70	122	22:40
13	Ron Francis R. Francis	3	0	3	1,731	549	1,249	1,798	-18	977	188	539	12	19	79	4	3,756	14.6	3,205	5,757	55.7	119	199	203	153	19:41
14	Mike Bossy M. Bossy	3	0	3	752	573	553	1,126	+380	210	180	198	8	1	80	4	2,709	21.2
15	Bobby Clarke B. Clarke	3	3	0	1,144	358	852	1,210	+507	1,453	99	234	32	35	38	1	2,582	13.9
16	Bobby Orr B. Orr	3	3	0	657	270	645	915	+582	953	76	248	16	31	26		3,058	8.8
17	Bobby Hull B. Hull	3	2	1	1,063	610	560	1,170	+249	634	154	170	19	10	98		4,577	12.7
18	Alex Delvecchio A. Delvecchio	3	0	3	1,550	456	825	1,281	+24	383	111	265	15	16	75		3,129	10.1
19	Bobby Bauer B. Bauer	3	0	3	327	123	136	259		38	15	10	0	2	21	2
20	Howie Morenz H. Morenz	3	3	0	550	271	205	476		562	5	15	1	0	45	10
21	Frank Nighbor F. Nighbor	3	1	2	349	139	100	239		266					26	3
22	Jaccob Slavin J. Slavin	2	0	2	747	55	244	299	+166	94	7	21	4	14	9	3	1,288	4.3	0	1	0.0	433	1,244	701	454	22:26
23	Nathan MacKinnon N. MacKinnon	2	1	1	879	373	655	1,028	+182	397	104	224	2	2	70	14	3,532	10.6	5,641	12,156	46.4	606	479	460	660	20:32
24	Sidney Crosby S. Crosby	2	2	0	1,361	631	1,067	1,698	+198	862	187	404	4	7	101	25	4,314	14.6	15,759	29,813	52.9	1,191	666	775	1,118	20:40
25	Paul Kariya P. Kariya	2	0	2	989	402	587	989	+31	399	139	251	17	6	53	4	3,509	11.5	166	427	38.9	195	272	308	433	20:24