Detectives are investigating what's thought to have been an armed car chase, which entered a hospital car park in Batley.
It was one of two incidents thought to have involved guns, which officers believe are linked.
The chase happened at around 5.56pm yesterday. The two cars - a silver or grey Volvo and a red Audi travelled down Upper Road and onto Halifax Road.
A passenger in the Volvo was seen hanging out of one of the windows. It's thought he was holding a gun. The cars entered the car park at Staincliffe Hospital.
Armed police were then called out to reports of gunshots in Conway Crescent in the early hours of this morning. A black car was seen leaving Conway Crescent around the time of the shots. Officers searched a building, but that was found to be empty.
Police are treating the incidents as targeted attacks and are asking the public to come forward with more information.
Extra patrols have been put in place in the area to reassure the public.
Police and Kirklees Council have thanked the residents of Batley for their support after today's demonstrations in the town centre. Both the EDL and We Are Batley events passed off peacefully with up to 350 EDL members demonstrating outside the town hall and no more than 60 We Are Batley counter demonstrators gathering on the New Way car park. No arrests were made at the demonstration itself.
A counter demonstration has been held to counter an English Defence League rally which took place in Batley today.
Organised by Kirklees Unite Against Fascism and Huddersfield TUC, the Celebration of Unity event was described as a "peaceful, anti-racist" gathering with music and speeches.
Batley councillors, politicians, Muslim leaders and the Bishop of Pontefract the Rt Rev Tony Robinson have all signed a Batley Unity Statement opposing the EDL rally.
Around two hundred English Defence League (EDL) supporters have attended a rally in Batley.
Hundreds of police officers from West Yorkshire and beyond were drafted into Batley for the demo by the right-wing group.
Traders were told that up to 700 police officers were put on standby to help prevent trouble.
The Yorkshire EDL Batley Division called a national demonstration in protest at what they say is the growing influence of Islam and English people "treated as second class citizens."
Police have released an e-fit image of a man they would like to speak to over an incident of indecent exposure in Wilton Park in Batley.
It happened when a 24-year-old woman was walking her dog along in the woodland area of the park around 7.30pm on Wednesday July 2, 2014. It is being linked to a similar incident in the park two weeks earlier.
"I would urge who recognises the man pictured or has any information about either of the reported incidents to call Batley and Spen Neighbourhood Policing team on 101"
PC Louise Hurst, West Yorkshire Police
Police are appealing for witnesses following a reported indecent exposure incident in Wilton Park, off Bradford Road, Batley, on June 19.
The victim, a 31-year-old woman, was walking her dogs alone in the wooded area of the park at around 11am when it happened.
The man involved is described as a white man, aged between 25 and 30-years-old, around 5ft 10ins tall, of average build, with short, brown hair.
He was wearing black tracksuit bottoms and some pink at the calf area and a dark t-shirt.
The mother of a little boy whose dog was stolen says she doesn't care why the pet was taken, as long as she's returned.
Luci Swift bought the pug for her son Ellis who's endured repeated skin grafts since he was accidentally scalded.
Thieves who were caught on camera stealing a valuable dog are being urged to return it.
The Pug dog, called Peaches ,taken from a garden in Batley, was a present to six-year-old Ellis Barrett who's endured repeated skin grafts since he was accidentally scalded.
Police are appealing for help to find a puppy which was stolen from its owners in Batley. The seven month old pug called Peaches was taken from the front garden of her home in The Grove in the town, on Sunday June 15, 2014.
"Enquiries are ongoing regarding this theft and we would like to speak with anyone who has information about Peaches' whereabouts or who may have seen the persons who took her. Peaches is much missed by her owners and I would ask anyone who has information about her to contact police."
PC Nick O'Meila, West Yorkshire Police
Police have issued images of men they would like to speak to in connection with an assault in Batley.
Dewsbury CID would like to speak to anyone who recognises the men who they would like to speak to in connection with an assault in a 26-year-old man at about 2am on Monday June 2.
The victim left the Audio nightclub in Bradford Road, Batley. He was followed by three people. He was assaulted near the Batley Barless Fire Co.
The 26-year-old needed hospital treatment after suffering a serious injury to his chest.