South Lakes Safari Zoo in Dalton said it would be closed from 9 January.
Barrow Borough Council raised several concerns about the zoo, including the closeness of the rhino dung to a fence, and the safety of walkways.
Zoo bosses said they felt "harassed" by the council and were unable to continue under such conditions.
On Thursday Barrow Council's licensing committee issued an order to the zoo to prove within 28 days that the aerial walkways were safe.
Zoo inspector Matthew Brash showed the council pictures of rotting timbers and said he and his colleagues had noted 20 slips and trips on them from the zoo's accident book.
But Karen Brewer, from the zoo, said there was only one accident listed in 2015 and two in 2014.
The council also said a pile of rhino dung was too close to a fence, providing a possible escape route for baboons, although the zoo said there had never been a baboon escape in 16 years of the dung being piled there.
In a statement, the zoo said: "We assure everyone that the zoo is safe and there is no evidence whatsoever to say otherwise.
"We are being subjected to an unprecedented attack and attempt to undermine our credibility and professionalism at every chance created.
"The management team cannot work under these conditions and hence the decisions made."

The 22-year-old England C international has scored 54 goals in two seasons for the National League North side.
The former Grimsby player is Gareth Ainsworth's first summer signing.
"He's a physical striker who knows where the goal is and I'm confident his all-round play will benefit us," boss Ainsworth told the club website.
Find all the latest football transfers on our dedicated page.

Arlene Foster's comments followed a week of disagreements over expenses payments.
In a speech on Friday, the DUP leader called for "a completely independent system" for administering expenses.
She said the electorate "need to be confident that we're one of them, fighting for them and not for ourselves".
Mrs Foster added: "If people are going to vote for us, they need to have confidence in us."
On Friday, the Assembly Commission and the Stormont expenses watchdog issued a joint statement on expenses payments.
It said the two bodies are committed to working together to sort out the differences.
In her speech to DUP members in Cookstown, County Tyrone, Mrs Foster expressed frustration that the issue was preventing her from communicating her vision for Northern Ireland.
She said that she left the stability of a career in the legal profession "because [she] believed in a cause".
"I wanted to make Northern Ireland a better place.  I still have that vision," she said.
"At the minute, no-one can hear about my vision for Northern Ireland because the administration of expenses is the main issue.
"As leader of this party, I am not going to let an issue like this destabilise our strategy.
"How we deal with this will reflect on how we deal with other matters of government."
The first minister said that she plans to send a letter to DUP assembly candidates and other party leaders appealing for a new system to deal with financial matters in the new term.
"The DUP has consistently argued that politicians should have absolutely no role in either deciding the level of their pay or expenses, or in administering the system by which those expenses are paid.
"The completely independent system at Westminster may not be perfect, but it has instilled public confidence that failures of the past will not be repeated."
At present, an independent Stormont regulator determines the level of MLAs' pay and Office Cost Allowances.
However, claims are submitted to, and processed by staff within the assembly.
Mrs Foster suggested that this "creates confusion and dents public confidence".
"We need a completely independent system, just as there is in Westminster, where expenses are taken entirely out of the hands of MLAs and of staff working for the Northern Ireland Assembly," she said.
"The DUP proposed exactly this kind of system 18 months ago. Sadly, other parties did not agree with us at that time.
"If other parties will not join me in reforming the system, I will take steps on the floor of the House to have this put in place.  I accept IPSA is more expensive and bureaucratic but it is essential that people can have confidence."
A Cumbria zoo is closing after councillors raised concerns about the potential for baboons to escape using a pile of rhino dung.
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Wycombe Wanderers have signed striker Dayle Southwell on a two-year contract from Boston United, subject to final paperwork being completed.
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The first minister has said Northern Ireland politicians need to strive to regain the confidence of voters.