West Yorkshire Police shared details of the incident, which happened when three dogs chased and killed a sheep.
As a result of the dog killing the sheep, the farmer then shot one of the dogs involved, a spokesman for the police said online.
What is sheep worrying?
In law, sheep worrying is an offence. It means that any dog owner which allows their dog to even chase a sheep or put the sheep under any kind of stress is breaking the law. In that situation, a farmer can legally shoot that dog, including kill it.
Worrying livestock means an animal attacking livestock or chasing livestock in a way that could cause injury or suffering to the livestock.
This includes female sheep who may loose or miscarry ewes.
It also includes animals being at large in a field or enclosure without a lead or otherwise being under close control.
What harm is done by sheep worrying?
The National Sheep Association has issued this advice to dog owners about sheep worrying. A spokesman said: "This advice will help you and your pet have fun and safe days out without disrupting the important work of sheep farmers.
You should also read this advice if you are a dog owner living in or near a farming area, as escaped dogs can be a real problem for farmers.
"Sheep are valuable assets and any harm to them harms a farmer’s livelihood.
"It is every dog’s instinct to chase, even if they are usually obedient and good with other animals.
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"Chasing by dogs can do serious damage to sheep, even if the dog doesn’t catch them.
The stress of worrying by dogs can cause sheep to die and pregnant ewes to miscarry their lambs.
"Sheep fleeing from dogs are often killed or seriously injured by their panicked attempts to escape, causing untold damage to fences and field boundaries in the process.
"Dogs chasing ewes and lambs can cause mis-mothering issues, with lambs dying from starvation or hypothermia when they become separated from their mother and fail to find her again.
cause death in sheep or necessitate them being put down at a later date, or in less severe cases considerable veterinary bills and additional welfare issues as a result of flies being attracted to the blood and leading to a nasty health problem in sheep called ‘fly strike’.
Injuries to sheep can also delay the normal farming routine, be it the mating season or administration of vital medicines and vaccines.
"It is an offence to allow a dog to worry sheep. Worrying includes attacking or chasing sheep and, in some circumstances, farmers are legally entitled to shoot dogs if they are endangering their sheep.
-> Police name woman who died after truck reversed in Garforth Leeds junction"It is vital that you keep your dog on the lead around livestock, even if you can usually trust it to come to call. If you live in or near a farming area, you must make sure that your dog cannot escape from your property, as it may find its way onto land containing sheep."
What is the maximum sentence for sheep worrying?
If a dog worries livestock, the owner of the dog shall also be guilty of an offence under the Dogs (Protection of Livestock) Act 1953.
A dog owner guilty of sheep worrying will be fined a maximum of £10.
If the person has been convicted of sheep worrying by the same dog before, they will be fined £50.