  In the paper [J. Math. Phys. 50 (2009), 095215, 42 pages, arXiv:0904.2291],
Feigin, Hashizume, Hoshino, Shiraishi, and Yanagida constructed two families of
commuting operators which contain the Macdonald operator (commutative families
of the Macdonald operator). They used the Ding-Iohara-Miki algebra and the
trigonometric Feigin-Odesskii algebra. In the previous paper [arXiv:1301.4912],
the present author constructed the elliptic Ding-Iohara-Miki algebra and the
free field realization of the elliptic Macdonald operator. In this paper, we
show that by using the elliptic Ding-Iohara-Miki algebra and the elliptic
Feigin-Odesskii algebra, we can construct commutative families of the elliptic
Macdonald operator. In Appendix, we will show a relation between the elliptic
Macdonald operator and its kernel function by the free field realization.
