A slew of nonprofits and public agencies will share $6.37 million in taxpayer funding next year to curb violence in Oakland, mostly by providing jobs and social services in neighborhoods that are beset by crime.

The money derives from Measure Z, a parcel tax and parking surcharge that Oakland voters approved in November 2014 to improve public safety. It provides $24 million a year to help staff the Police Department and fund community-based violence-prevention programs. Organizations that competed for funding had to show they would steer youth and young adults into productive lives, while helping break a cycle of violence and trauma in Oakland.

Among the grant recipients was Youth Alive, a group that reaches out to youth in the hospital after they’ve been stabbed or shot, or right after they’ve been released from juvenile hall. It was awarded more than $1 million, the lion’s share of which will go toward a collaboration with Oakland California Youth Outreach, to mediate conflicts that erupt in the streets.

The Mentoring Center secured $620,000 in funds to provide intensive case management and conflict mediation, partly in conjunction with Communities United for Restorative Youth Justice. The Family Violence Law Center was granted $450,000 to help survivors of domestic violence and assist with restraining orders. The Center for Employment Opportunities received $320,000 in job-training funds for young adults, ages 18 to 35.

Staff from the city’s Human Services Department — which has an arm called Oakland Unite that manages public safety funds — recommended awarding 30 grants in all, allocating the money to 24 nonprofit and public agencies, out of 44 that applied. The City Council approved those awards Tuesday.

Clients from several of the organizations that received funding gave emotional speeches at the council meeting, highlighting the urgency of Measure Z.

“I just got out of prison two weeks ago,” said Tommy Robinson, who had come to advocate for Oakland California Youth Outreach.

Robinson said he’d spent more than a decade behind bars, and the last six years in solitary confinement.

“It was tough going from being isolated to being around people again,” Robinson said, adding that the group had helped him put together a resume and readjust to the outside world.

“Welcome home,” said council President Lynette McElhaney, her voice quavering.

Erin Scott, who heads the Family Violence Law Center, told the council she hopes to use the funding to “connect family violence and community violence more purposefully” — largely by bringing peace to her clients’ homes.

“We know from our work that when we’re able to interrupt family violence, it means more youth grow up without seeing violence in the home,” Scott said. “That impacts future behavior.”

Another speaker, Eric Salazar, said he was helped by the Mentoring Center.

“This is actually the first year that I’ve been able to stay out of jail since I was 18,” Salazar said. “They helped me do that. ... Instead of waiting outside for you guys to get to your cars with a gun, I’m here speaking to y’all.”

Rachel Swan is a San Francisco Chronicle staff writer. E-mail: rswan@sfchronicle.com Twitter: @rachelswan