month after next
Refers to the month after the upcoming month. Used both as a noun and adverbially.
再来月の予定を立てましょう。
Let's make plans for the month after next.
彼は再来月、海外に引っ越すそうです。
I heard he's moving abroad the month after next.
I'm planning to move the month after next.
The new project will start the month after next.