Between the 2010 and 2019 seasons, Nelson Cruz had the most games with >0 home runs, with 315 games.

Interpreted as:

most regular-season games with +2 homeruns by a player n the 2010s

	NAME	G	HR	AB	R	H	2B	3B	RBI	BB	HBP	SO	SB	CS	PA	TB	XBH	SH	SF	IBB	GIDP	AVG	OBP	SLG	OPS
1	Nelson Cruz N. Cruz	315	346	1,267	429	555	58	3	631	100	16	262	4	5	1,391	1,657	407	0	8	13	17	.438	.482	1.308	1.790
2	Edwin Encarnacion E. Encarnacion	300	335	1,163	433	506	48	1	624	142	15	168	7	4	1,330	1,561	384	0	10	11	17	.435	.498	1.342	1.841
3	Giancarlo Stanton G. Stanton	276	308	1,086	383	482	45	3	532	130	10	249	9	4	1,229	1,457	356	0	3	27	15	.444	.506	1.342	1.848
4	Mike Trout M. Trout	267	285	1,029	409	477	43	12	491	167	20	214	37	7	1,223	1,399	340	0	7	23	12	.464	.543	1.360	1.902
5	Albert Pujols A. Pujols	263	290	1,070	367	462	40	0	519	87	7	104	10	2	1,173	1,372	330	0	9	30	31	.432	.474	1.282	1.756
6	Jose Bautista J. Bautista	257	285	963	377	417	36	2	498	172	9	134	12	4	1,152	1,312	323	0	8	10	25	.433	.519	1.362	1.882
7	Jay Bruce J. Bruce	245	269	961	347	426	43	5	502	89	2	187	10	1	1,058	1,286	317	0	6	10	11	.443	.489	1.338	1.827
8	Miguel Cabrera M. Cabrera	241	268	971	362	484	54	1	510	100	5	126	2	3	1,083	1,344	323	0	7	33	27	.498	.544	1.384	1.928
9	Justin Upton J. Upton	240	255	950	341	427	43	2	480	95	6	205	20	4	1,061	1,239	300	0	10	6	9	.449	.498	1.304	1.802
10	Adam Jones A. Jones	240	251	1,005	341	447	44	2	436	45	10	141	13	4	1,067	1,248	297	0	7	1	15	.445	.470	1.242	1.712
11	Chris Davis C. Davis	236	257	888	324	393	34	0	461	88	13	237	3	2	997	1,198	291	0	8	8	9	.443	.495	1.349	1.845
12	Paul Goldschmidt P. Goldschmidt	224	243	883	332	410	36	2	459	124	4	179	20	6	1,017	1,179	281	0	6	21	22	.464	.529	1.335	1.864
13	Evan Longoria E. Longoria	223	237	903	298	383	39	3	424	83	4	153	4	6	1,001	1,139	279	0	11	12	17	.424	.470	1.261	1.731
14	Curtis Granderson C. Granderson	223	242	864	321	370	33	4	402	107	8	201	17	7	987	1,137	279	3	5	3	11	.428	.493	1.316	1.809
15	Carlos Santana C. Santana	222	232	858	308	363	47	1	413	136	2	132	7	1	1,001	1,108	280	0	5	8	15	.423	.500	1.291	1.792
16	Joey Votto J. Votto	219	231	840	320	395	38	1	421	133	6	129	9	3	985	1,128	270	0	6	27	15	.470	.542	1.343	1.885
17	Robinson Cano R. Cano	217	237	892	311	421	51	1	459	79	7	83	2	2	982	1,185	289	0	4	27	19	.472	.516	1.328	1.845
18	Ryan Braun R. Braun	216	241	861	322	389	32	5	467	79	6	139	24	5	950	1,154	278	0	4	11	11	.452	.499	1.340	1.839
19	J.D. Martinez	213	231	851	301	379	37	4	450	78	3	180	5	2	941	1,117	272	0	9	12	21	.445	.489	1.313	1.801
20	Adrian Beltre A. Beltre	212	227	847	292	402	42	4	413	56	5	75	3	1	913	1,133	273	0	5	13	17	.475	.507	1.338	1.845
21	Freddie Freeman F. Freeman	211	227	833	312	397	44	3	416	95	11	136	4	4	944	1,128	274	0	5	12	13	.477	.533	1.354	1.887
22	Matt Kemp M. Kemp	208	220	847	285	387	39	3	432	62	6	174	13	5	919	1,092	262	0	4	9	17	.457	.495	1.289	1.784
23	Nolan Arenado N. Arenado	207	227	846	297	399	46	4	445	62	4	98	2	3	919	1,134	277	1	6	7	27	.472	.507	1.340	1.847
24	David Ortiz D. Ortiz	207	224	808	279	372	39	1	425	97	2	103	1	0	915	1,085	264	0	8	26	25	.460	.515	1.343	1.858
25	Mark Trumbo M. Trumbo	204	218	824	271	342	32	6	409	64	2	177	6	5	893	1,040	256	0	3	7	16	.415	.457	1.262	1.719