This will involve the Metropolitan Police as well as campaigning charities, in an attempt to reduce crimes of sexual violence and domestic abuse and give victims the confidence to report crimes.
Details of the campaign are outlined in the mayor of London's police and crime plan, 2017-2021, released earlier this year.
Tackling violence against women and girls is one of the mayor's top priorities, Khan stated in the foreword to the report.
He said: "This is at shocking levels in our city. Statistics show that 11 women are raped in every Borough in London, every week of the year."
Changing the way people view violence against females is vital, he said, because some think it is "acceptable to abuse, harass and attack women and girls, and feel that they can get away with it".
The report adds, "We will use the power of the mayor and City Hall to bring together partners from right across London, both statutory and voluntary, to launch a campaign to raise awareness of the issue, and to robustly tackle unacceptable attitudes and behaviour to women and girls."
The campaign will seek to "highlight and target specific risks and types of offending behaviour" and also provide information about the help available for victims.
One area of concern is the capital's transport system.
The report states: "We know that, for too many women and girls, the transport network, which should be a safe place, is somewhere they feel at risk of being abused or harassed, particularly late at night."
Specific harmful practices such as female genital mutilation, so-called "honour" violence and forced marriage will also be tackled.
The campaign will include "partners from right across London, both statutory and voluntary" and aim to "challenge unacceptable attitudes to women and girls, and implement a whole-school VAWG prevention pilot to tackle unacceptable attitudes and behaviours in early years".
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