Alec Baldwinis turning to his family in the wake of theaccidental shootingon the set of his movie,Rust.On Thursday, Baldwin, 63, fired a prop gun on the Sante Fe, New Mexico film set, accidentallykillingcinematographerHalyna Hutchinsand injuring director Joel Souza.As local authorities in New Mexico continue toinvestigatethe incident, a source tells PEOPLE that the actor is getting support from wifeHilariaand his children.“It’s such an unthinkable tragedy and the grief and trauma for him are unbearable,” the source says. “Alec is still in shock and his heart is completely broken. He is doing his best to cope and is leaning on Hilaria and the kids for support.“For more on the shooting on theRustset, listen below toour daily podcast PEOPLE Every Day.“Obviously, what happened here is devastating for everyone,” the insider adds. “Alec will need time and space to work through and process this tragedy.“Alec Baldwin.Mark Sagliocco/GettyBaldwin and Hilaria, 37, share six children together, daughtersCarmen Gabriela, 8, andMaría Lucía Victoria, 8 months, plus sonsRafael Thomas, 6,Leonardo Ángel Charles, 5,Romeo Alejandro David, 3, andEduardo “Edu” Pao Lucas, 13 months.He also has a 26-year-old daughter,Ireland, whom he shares with his ex Kim Basinger.Hilariaspoke out on the incidentfor the first time on Monday, writing on Instagram, “My heart is with Halyna. Her husband. Her son. Their family and loved one. And my Alec.“She continued, “It’s said, ‘There are no words’ because it’s impossible to express the shock and heartache of such a tragic accident. Heartbreak. Loss. Support.“Hilaria and Alec Baldwin in 2021.Jamie McCarthy/GettyBaldwin released a statement on Twitter Friday,writing, “There are no words to convey my shock and sadness regarding the tragic accident that took the life of Halyna Hutchins, a wife, mother and deeply admired colleague of ours.““I’m fully cooperating with the police investigation to address how this tragedy occurred and I am in touch with her husband, offering my support to him and his family,” he added. “My heart is broken for her husband, their son, and all who knew and loved Halyna.“Never miss a story — sign up forPEOPLE’s free daily newsletterto stay up-to-date on the best of what PEOPLE has to offer, from juicy celebrity news to compelling human interest stories.Also on Friday, Hutchins' husband Matthew toldDaily Mailthat he has been in contact with Baldwin. Matthew, 38, has a 9-year-old son, Andros, whom he shared with the late cinematographer.“I have spoken with Alec Baldwin and heis being very supportive,” he told the outlet.

Alec Baldwinis turning to his family in the wake of theaccidental shootingon the set of his movie,Rust.

On Thursday, Baldwin, 63, fired a prop gun on the Sante Fe, New Mexico film set, accidentallykillingcinematographerHalyna Hutchinsand injuring director Joel Souza.

As local authorities in New Mexico continue toinvestigatethe incident, a source tells PEOPLE that the actor is getting support from wifeHilariaand his children.

“It’s such an unthinkable tragedy and the grief and trauma for him are unbearable,” the source says. “Alec is still in shock and his heart is completely broken. He is doing his best to cope and is leaning on Hilaria and the kids for support.”

For more on the shooting on theRustset, listen below toour daily podcast PEOPLE Every Day.

“Obviously, what happened here is devastating for everyone,” the insider adds. “Alec will need time and space to work through and process this tragedy.”

Alec Baldwin.Mark Sagliocco/Getty

Alec Baldwin attends the World Premiere of National Geographic Documentary Films' ‘The First Wave’ at Hamptons International Film Festival on October 07, 2021 in East Hampton, New York.

Baldwin and Hilaria, 37, share six children together, daughtersCarmen Gabriela, 8, andMaría Lucía Victoria, 8 months, plus sonsRafael Thomas, 6,Leonardo Ángel Charles, 5,Romeo Alejandro David, 3, andEduardo “Edu” Pao Lucas, 13 months.

He also has a 26-year-old daughter,Ireland, whom he shares with his ex Kim Basinger.

Hilariaspoke out on the incidentfor the first time on Monday, writing on Instagram, “My heart is with Halyna. Her husband. Her son. Their family and loved one. And my Alec.”

She continued, “It’s said, ‘There are no words’ because it’s impossible to express the shock and heartache of such a tragic accident. Heartbreak. Loss. Support.”

Hilaria and Alec Baldwin in 2021.Jamie McCarthy/Getty

Hilaria Baldwin and Alec Baldwin

Baldwin released a statement on Twitter Friday,writing, “There are no words to convey my shock and sadness regarding the tragic accident that took the life of Halyna Hutchins, a wife, mother and deeply admired colleague of ours.”

“I’m fully cooperating with the police investigation to address how this tragedy occurred and I am in touch with her husband, offering my support to him and his family,” he added. “My heart is broken for her husband, their son, and all who knew and loved Halyna.”

Never miss a story — sign up forPEOPLE’s free daily newsletterto stay up-to-date on the best of what PEOPLE has to offer, from juicy celebrity news to compelling human interest stories.

Also on Friday, Hutchins' husband Matthew toldDaily Mailthat he has been in contact with Baldwin. Matthew, 38, has a 9-year-old son, Andros, whom he shared with the late cinematographer.

“I have spoken with Alec Baldwin and heis being very supportive,” he told the outlet.

source: people.com