The move by government to change the law has been met with criticism from some quarters.
Two people were killed and six wounded in Melville in a drive-by shooting, while 11 were wounded after being shot in Newtown.
Group director Adele Kirsten said Gun Free South Africa reviewed 21 gun-related femicides this year to represent the number of women shot and killed every week.
According to the NGO, 2,000 people across South Africa have died as a result of gun violence since the start of this year.
This comes after a Cape Town sergeant, Granville Brooks, killed his girlfriend, her mother and himself on Thursday.
This week, a Cape Town police officer allegedly shot dead his wife and step-daughter before wounding himself. The Millerton captain has since been arrested.
SAPS statistics show 1,769 weapons belonging to officers were lost or stolen over the last financial year.
Ludwig Churr challenges recent claims made Gun Free South Africa.
