Image copyright Reuters Image caption Kaepernick says he will continue his campaign until he sees improvements in US race relations

Police officers have threatened to boycott the home games of the NFL's San Francisco 49ers if the organisation fails to take action to halt protests by its quarterback Colin Kaepernick.

Kaepernick has refused to stand for the national anthem in a protest against the plight of black people in the US.

A letter from Santa Clara police says Kaepernick's actions and statements are "false and insulting".

It accused the 49ers of failing to take any action to stop them.

Kaepernick's protest has stemmed from the racial tensions that increased across the nation this year amid a string of police killings and subsequent revenge attacks.

The player stayed seated during The Star-Spangled Banner at a game a week ago and on Thursday chose to kneel during the anthem.

The 28-year-old has said he will continue until he sees improvements in US race relations.

The Santa Clara Police Officers' Association letter, obtained by NBC Bay Area, said that Kaepernick had "made the allegation that police officers are getting paid to murder people".

It accused the 49ers of "allowing Kaepernick to wear exposed socks with the image of a pig wearing a police hat".

Image copyright Reuters Image caption Some 70 officers police 49er home games at Levi's Stadium

"The 49ers organisation has taken no action to stop or prevent Mr Kaepernick from continuing to make inaccurate, incorrect and inflammatory statements," it said.

"If the 49ers organisation fails to take action to stop this type of inappropriate workplace behaviour, it could result in officers choosing not to work at your facilities.

"Our members have the right to do their job in an environment free of unjustified and insulting attacks."

Image caption Part of the letter obtained by NBC Bay Area

About 70 Santa Clara officers patrol Levi's Stadium during the home games.

Kaepernick on Thursday vowed to continue his protest, saying: "The message is that we have a lot of issues in this country that we need to deal with." Teammate Eric Reid joined him in the latest protest.

Seattle Seahawks player Jeremy Lane also sat on the bench during the anthem at a game in Oakland.

He later told the News Tribune: "I wasn't trying to say anything, just standing behind Kaepernick."

In the eye of a media storm

Kaepernick's protest has drawn strong reactions both in opposition and support.

An online petition demanding the NFL punish Kaepernick attracted more than 53,000 signatures by Friday.

But some veterans and military members tweeted their support for Kaepernick with the hashtag #VeteransForKaepernick.

The NFL says it encourages players to stand for the anthem but that it is not a requirement.