The animals, which include a leopard, two lynx and two ring-tailed lemurs, were found at Borth Animalarium, near Aberystwyth.
Owners Alan and Jean Mumbray admitted not having the correct paperwork for a commercial premises in court on Monday.
They were both fined and told the animals would be found new homes.
Jean Mumbray was fined £937.50 and ordered to pay costs of £250, and Alan Mumbray was fined £300 and £100 costs at Aberystwyth Magistrates' Court, said Dyfed-Powys Police.
Sgt Ian Guildford, a wildlife and environmental police officer with the force, said: "The use of the licensing system to control the sale and display of protected animals is a valuable tool in the fight against the trade in endangered animals.
"Anyone who is involved in dealing with protected animals on a commercial scale such as zoos and other similar establishments should be aware of this and make every effort to comply with the legislation.
"Without this, compliance loopholes are left open to those who treat endangered animals as a financial commodity."
Nevin Hunter, of the Animal Health Wildlife Licensing and Registration Service, said the prosecution was "very significant" and showed that illegal use of endangered animals would not be tolerated.
He added: "The vast majority of zoos and animal parks in the UK do so lawfully and play an important part in conserving endangered species.
"However, those who choose to flout the regulations are on notice that we will take decisive action with police wildlife crime officers to ensure that prosecutions are taken forward.
"I commend Sgt Ian Guildford, Dyfed-Powys Police, and the Crown Prosecution Service for taking forward the case and achieving this outcome."

The images of Europe taken from the International Space Station (ISS) have notched up tens of thousands of reactions on Facebook.
Belgium can be seen glowing more brightly than its neighbours.
The country's dense road network enjoys near-total streetlight coverage, with lights kept on throughout the night.
It uses about 2.2 million bulbs to illuminate Belgium's roads - with 186 bulbs per square mile, the New York Times reports.
The 39-year-old French astronaut posted an image on Twitter showing the Aurora Borealis - also known as the Northern Lights - visible towards the north of the globe, and also noted that Belgium "stands out as usual".
In another, on his Facebook page, he said London, Paris and Brussels "form a very European triangle".
The photos are taken from the "cupola" - a module of the ISS built by the European Space Agency.
In his blog, Mr Pesquet says he likes to look out on the Earth while working out on an exercise machine positioned there.
"There are not a lot of gyms with such a view!" he writes.
He describes in detail life on board the space station, explaining - among other things - that tortillas are better than bread in space, as they don't leave crumbs to plague the astronauts in their weightless environment.
Most social media responses to the images marvelled at the beauty of the Earth viewed at night from some 400km (248 miles) above.
But some complained about the wasted power and light pollution: "We can see very well the glitz and wasted electricity! Awful for lovers of the sky!" wrote Christian Cellier on Facebook.
And one user, Michel-L Saucy said, was more concerned about extra-terrestrial visitors: "Hope that the aliens are not too attracted to light... We cannot accommodate them all once!"

At about 21:00 BST on Friday, a man armed with a knife entered a shop at Northland Avenue in the Rosemount area and demanded money.
Police said the suspect was restrained by members of the public until officers arrived and arrested him. Another man was arrested nearby a short time later.
The men, who are both 19, are to appear in court on Monday.
They are charged with attempted robbery, conspiracy to rob and possession of an offensive weapon.
Nine endangered animals are to be confiscated from a Ceredigion zoo after its owners admitted displaying animals without the proper paperwork.
[NEXT_CONCEPT]
Belgium's penchant for extravagant motorway lighting is suddenly in the spotlight thanks to pictures posted by French astronaut Thomas Pesquet.
[NEXT_CONCEPT]
Two men have been charged over the attempted armed robbery of a shop in Londonderry.