His actions resulted in him being kicked out of the Mexican Open at the time.
Zverev was also fined the maximum amount possible of $40,000 for “verbal abuse and unsportsmanlike conduct”.
The World number three also lost all of his ranking points from the tournament, and forfeited all of his prize money.
No further action will be taken against the 24-year-old, should he avoid breaking any rules in the next twelve months.
“If the conditions are met, the penalties will be formally dismissed following the completion of the probation period,” an ATP statement read. “If the conditions are not met, the penalties will be invoked after any appeal process is exhausted.”
Zverev is set to feature at Indian Wells 2022, which began Monday 7 March.