"Law and order should not be your only focus. Police should also focus on prevention of crime by strengthening prosecution wing so that the criminals do not go scot-free," Sayeed said at the Police Martyrs' Commemorative Day at Zewan, 15 kms from here.
The state was facing the challenge of rising drug addiction, violence against women and other crimes are taking root in the society, Sayeed said.
The Police Commemorative Day is observed in memory of the 10 gallant CRPF personnel who laid down their lives while repulsing Chinese aggression at Hot Springs in Ladakh in 1959.
Sayeed also laid floral wreath at the Martyrs' Memorial.
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Earlier, Director General of Police K Rajendra Kumar read out the names of 437 police personnel, including 24 from J&K Police and 15 from CRPF and BSF, who sacrificed their lives in the line of duty in the past one year across the country.
Paying homage to the martyrs, Kumar made a special mention of Sub Inspector Altaf Ahmad Dar, who was killed by militants in Bandipora district of the state recently.
He said 131 Village Defence Committee members had also been killed during this period.
On the occasion, the DGP highlighted various welfare schemes run by J&K Police that provide financial assistance to the families of martyred police personnel, in particular towards their rehabilitation and education of children.
Kumar also mentioned various welfare measures taken by the department for the families of the martyr's and retired police personnel.
"We have formed district level scheme headed by a Deputy Superintendent of Police who maintains a regular contact with the families of police martyrs so that they do not have to face any problems," he added.