The marchers will include the family of 27-year-old Barry McLean from Fife, who died from a single knife wound, and John Muir, whose son Damian was stabbed to death in a random attack in Greenock in 2007.
About 500 people will march from St Giles's Cathedral to Holyrood on Saturday, where they will say a further review of knife legislation is needed.
Mr McLean's father, Alan, also said he believed there should be a further professional tier between judge and jury who would check they had gone over specific evidence, and also that in murder cases juries should be made up of professionals with a knowledge of the law rather than the public.
In July, Sean Kitchener, 27, walked free from court after he was cleared of murdering Barry McLean in May last year. He maintained he acted in self-defence.
Mr McLean, 49, said he and his wife Tina, 50, struggled after the case. He said: "It is so difficult for the family not to have closure. We are asking for a change in the law that would prevent this happening again."
A Scottish Government spokeswoman said knife crime is at its lowest level for 30 years.