The injured bird was found by a walker in Hall Lane, Blubberhouses, on Sunday.
It had suffered a shattered wing, possibly a few days earlier, and was put down by a vet.
PC Gareth Jones, North Yorkshire Police wildlife crime co-ordinator, said: "I am saddened by the scale of persecution of these birds. It has to stop."
The birds were all found in North and West Yorkshire and police are concerned by the "unusually high" number of recent attacks on red kites, which are protected by law.
In the past two months, four red kites have died after being shot. Another was found shot but released back into the wild after being treated by vets.
Three red kites have also died after being found "in circumstances that suggest poisoning". They are being examined by the police's Wildlife Incident Investigation Scheme.
PC Jones said: "Red kites were persecuted into virtual extinction in the UK, but in recent years they have been re-introduced through breeding programmes at a number of locations nationally.
"In Yorkshire, they have spread from their release site at Harewood House, and are now breeding over a large area. Red kites are scavengers, and normally eat carrion, their favourite food being rats and rabbits.
"They are magnificent birds than can be regularly seen soaring over our area, bringing pleasure to many people."
He urged anyone with information about the most recent incident to contact North Yorkshire Police.

It is alleged Mark H Durkan adopted the Belfast Metropolitan Area Plan (BMAP) without telling executive colleagues.
The decision is being challenged in judicial review proceedings by the Finance Minister Arlene Foster.
BMAP identifies planning zones for 40% of the Northern Ireland population.
Counsel for Mr Durkan claimed he was pressurised by DUP executive colleagues over the policy, that ended any prospect of a John Lewis store at Sprucefield.
Rejecting claims that he breached a ministerial code by unilaterally approving the planning framework last year, Mr Durkan's barrister said he had tried to get it on the agenda at Stormont executive meetings at least six times.
The barrister said there had been an "egregious failure" by others to ensure BMAP was discussed.
"That is where the system has broken down, because it never happens," he said.
"Does the minister lose his executive power in circumstances where he has been thwarted by those who will not allow it to go on the executive agenda?
"No, he does not lose his executive power - he has discharged his obligations, there's been no contravention of the ministerial code."
BMAP covers retail, residential or commercial development not only in Belfast, but outlying areas such as Carrickfergus, Lisburn, Newtownabbey and north Down.
In January 2012, then environment minister Alex Attwood announced the retailing element of the plan.
This included a policy of restricting future development at Sprucefield to bulky goods such as furniture and electrical items, effectively blocking the John Lewis plan.
During the two-day hearing the court was told the legal challenge involved a disagreement split down party-political lines.
The DUP is opposed to the restrictions adopted by the SDLP minister in BMAP.
Counsel for Mrs Foster said the plan is so controversial that it required full Stormont executive consent.
However, Mr Durkan's barrister said the minister had done everything he could.
The court heard how a regional development strategy in place up to 2035 aims to strengthen Belfast's role as a primary retail location.
Insisting executive departments are obliged to adhere to it, the barrister asked: "How would the Department of the Environment minister properly be having regard to that policy if he had acted behind closed doors to abandon the bulky goods restriction because he had been put under pressure by a political grouping or part thereof?
"That would be an abdication of his statutory responsibilities."
The barrister also told the court that the ministerial code was being used to make improper demands.
He said: "It cannot be right that the ministerial code is used to coerce the minister to disregard statutory obligations imposed on him."
"The only way in which a minister can lose power is if there's a contravention of the code.
"In this case there has been none, and he retains his executive power."
The case continues.
A red kite found shot in North Yorkshire is the seventh to have been killed in the region in the past two months, police have said.
[NEXT_CONCEPT]
Attempts were allegedly made to "coerce" the environment minister into ignoring his legal duties over a planning policy for greater Belfast, the High Court has heard.