The move comes a day after the Cincinnati Zoo said it was "not amused" by enduring memes over the gorilla's death.
Staff members fatally shot Harambe in May after a three-year-old boy climbed into his enclosure.
The death was subject to controversy, prompting angry tweets and petitions.
Zoo 'not amused' by Harambe memes
Cincinnati Zoo director Thane Maynard said on Monday the staff was "still healing" from the incident and the outpour of online memes and satire was making it difficult to move on from Harambe's loss.
The 17-year-old gorilla's death sparked international outrage and the boy's mother faced online scrutiny regarding her parenting skills.
Prosecutors decided not to press charges against the mother.
The zoo reopened its Gorilla World exhibit in June. The exhibit included reinforced barrier designed to prevent further accidents.
But online, numerous memes, petitions and hashtags such as #JusticeForHarambe cropped up in the gorilla's honour. Over time, Harembe became popular shorthand in social media humour.
Some pranksters called for the animal to be put on the dollar bill, while a poll in Texas suggested he would receive 2% of the popular vote in the US presidential election.
The memes took a racist turn in June when retired Australian football player Adam Goodes and Ghostbusters actress Leslie Jones were compared to an image of Harambe.
Mr Maynard's Twitter account was also hacked over the weekend.
The zoo's Twitter account was continuously flooded with references to Harambe before it was erased on Tuesday. For every Tweet they posted, no matter the subject, the zoo received dozens of replies referencing the gorilla.

The 22-year-old clocked 19.95 seconds representing Louisiana State University at the Southeastern Conference (SEC) Championships in Tuscaloosa, Alabama.
John Regis set the British record of 19.94 in 1993, while Adam Gemili is the only other Brit to go sub 20.
Mitchell-Blake told BBC Sport his achievement was "overwhelming".
Regis also clocked a time of 19.87 but this was never ratified.
He had already competed in two Olympic Games by the time he ran under 20 seconds.
Mitchell-Blake clocked his time having already won the 100m as well as anchoring his university to victory in the 4x100m at the SEC Championships.
"The 200 is my favourite event," said the 2013 European junior champion, who was visibly emotional when approached for an interview on the track..
He said he wanted to compete for Britain at the Rio Olympics in August but would be focusing on his college career for the next few weeks.
"Then I'll come back to the UK and try to compete for a spot on the team," he added.
Chijindu Ujah and James Ellington have also already run under the 20.50-second Olympic A standard in 2016.
The British Championships take place in June.
An Ohio zoo where a gorilla was shot and killed has deleted its Twitter account after constant online harassment about the animal's death.
[NEXT_CONCEPT]
Nethaneel Mitchell-Blake missed the national record by one-hundredth of a second as he became only the third Briton to run sub 20 seconds for 200m.