"We know there could be more that aren't being reported," she said.
"We want everybody to know police will continue to prioritise family harm incidents and we will come when you call. Everybody deserves to be safe, and feel safe."
Anyone with concerns or information about family harm was urged to contact police as soon as they could.
If people were in immediate danger and unable to contact police on 111, they were advised to leave their house and get out of harm's way.
Police, Joint Venture Business Unit and the Ministry of Social Development also had a number for men to call if they thought they were going to harm a loved on - 0800 HEY BRO.
The integrated safety response Whāngaia Ngā Pā Harakeke from the police and Family Violence Inter-Agency Responses were constantly assessing risk and linking victims, perpetrators, families, and whānau to support services.
"Our partners are a crucial part of supporting our communities and ensuring people get the help they need," Venables said.
"As part of the response in the Covid-19 environment, police is part of a family harm and sexual violence pandemic working group, which is ensuring the right groups are connected and working together on monitoring and response."
Support services available:
• 211 Helpline (0800 211 211) – for help finding, and direct transfer to, community-based health and social support services in your area.
• Find your Local Women's Refuge by calling 0800 743 843 (0800 REFUGE) to be linked up with an advocate in your area.
• Victim Support – call 0800 842 846. 24-hour service for all victims of serious crime.
• Victim Information Line/Victim Centre – call 0800 650 654 or email victimscentre@justice.govt.nz.
• Shine domestic abuse services – free call 0508 744 633 (9am to 11pm) if you're experiencing domestic abuse, or want to know how to help someone else.
• Family violence information line – call 0800 456 450 to find out about local services or how to help someone near you.
• Elder Abuse Helpline – call 0800 32 668 65 (0800 EA NOT OK) - a 24-hour service answered by registered nurses who can connect to local elder abuse specialist providers.
• Tu Wahine Trust – call 09 838 8700 for kaupapa Māori counselling, therapy and support for survivors of sexual harm (mahi tukino) and violence within whānau.
• Shakti New Zealand – call 0800 742 584 for culturally competent support services for women, children and families of Asian, African and Middle Eastern origin who have experienced domestic violence.
• Safe to Talk – sexual harm helpline. Call 0800 044 334, text 4334 or email support@safetotalk.nz.
• Rape Crisis Centres – call 0800 88 3300 for contact details of your local centre. Provides support for survivors of sexual abuse, their families, friends and whānau.
• Male Survivors Aotearoa New Zealand – call 0800 044 344. Offers one-to-one, peer and support groups for male survivors of sexual abuse and their significant others.
• Tu Wahine Trust – call 09 838 8700 for kaupapa Māori counselling, therapy and support for survivors of sexual harm (mahi tukino) and violence within whānau.
