Subject Verb Agreement: Each of [duplicate]
The rules suggest that there be an "is" in your sentence. Since the subject is "each" and not "children". "Each" is a singular in itself.
I agree with Komal Jain.
"The children" only serves as being the object of the preposition "of" in that sentence. It does not function as the subject.
The prepositional phrase "of the children" modifies the pronoun "each". Also, "each of the children" is a noun/nominal phrase, where "each" is the head of the phrase; thus, "each" is the real subject.