What grammatical name is given to if he lucky?

"If he lucky" is not grammatically correct. It is missing the word "is" and should be written as "If he is lucky".

Here's the breakdown:

* If is a conjunction introducing a conditional clause.

* he is a pronoun (subject of the verb).

* is is the verb (present tense of "to be").

* lucky is an adjective describing the subject.

Therefore, the phrase "If he is lucky" is a conditional clause, specifically an if-clause, followed by a main clause (implied).