CPS South East's district crown prosecutor, Matthew Beard, said: "The antisemitic abuse from Alan Leggett was deeply offensive, not only to the victim but also to all those within and outside the Jewish community.
"Hate crime is truly abhorrent and no one should be subjected to abuse online because of their race or religion."
Mr Beard also urged those who see or experience hate crime to report it to the police.
The CPS added that since the Israel-Gaza conflict, it has been working alongside the police to tackle surges in antisemitic and Islamophobic hate crime.
Mr Beard added: "The CPS is committed to prosecuting hate crime and, where a case results in a successful conviction, we will continue to apply for harsher sentences to reflect the severity of these crimes."