The Domestic Abuse Act created a single offence including for the first time coercive and controlling behaviours.
Police Scotland initiative in Dundee aims to send out the message that domestic abuse will not be tolerated.
The money will allow organisations to take on more staff and operate centres and helplines over longer hours.
Women's Aid charity says there has been an influx of enquiries during the coronavirus pandemic.
Introduced in April 2019, the Domestic Abuse (Scotland) Act criminalises coercive and controlling behaviours.
Calls to the National Domestic Violence Hotline are up 25% since the coronavirus lockdown began.
Police Scotland say the number of people seeking details about their partner's past behaviour has risen by nearly a fifth.
The Lord Advocate, James Wolffe QC, told victims public safety remains a priority at this time.
Craig Harkins was convicted of 16 charges against his former partners, including rape and assault.
Cleared last week, the football manager said work had kept him going.
