The country is making some piecemeal reforms, including ending its notorious driving ban on women.
Al-Bajadi spent several years in prison as a result of his advocacy.
It has been created because of the "negative effects on the individual, the family and society" harassment can have.
"It fills a large legislative vacuum, and it is a deterrent", she added.
Al-Shaalan's work has been published in a number of journals, including "Methods of Care for Children Living in Orphanages in Saudi Arabia (an exploratory field study)" in the Journal of International Education Research, and "Chronic Back Pain, Anxiety, and Depression: A case study of five female Saudi patients" in the Egyptian Journal of Psychological Studies. Even if a victim waives the right to prosecute a harasser, the kingdom's legal authorities can still press charges.
The law also punishes any person who helps or allows the harassment by not more than half of the maximum penalty assigned to it.
The new law appears to be in preparation for the historic lifting of the kingdom's driving ban on women on June 24.
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It prompted threats of retaliation from the European Union on United States products before the policy was abandoned. Malmstrom is meeting US Trade Representative Robert Lighthizer in Paris today among other global trade chiefs.
The legislation will officially become law when it is declared in a royal decree.
Riyadh also granted women the right to attend public events, such as concerts and sporting competitions, alongside men past year.
Among those still detained are Loujain al-Hathloul, Eman al-Nafjan, Aziza al-Yousef, Mohammed al-Rabea, and Ibrahim al-Modaimeegh.
The office of the UN High Commissioner for Human Rights issued a statement Tuesday noting the apparent contradiction of arresting advocates for women's right while simultaneously advancing those rights.
It added, "If, as it appears, their detention is related exclusively to their work as human rights defenders and activists on women's issues, they should be released immediately".
Suad Abu-Dayyeh, a Middle East expert with the global advocacy group Equality Now, said the draft law was a "welcome step", but expressed concern over the recent crackdown on women's rights campaigners.
The Saudi Civil and Political Rights Association had called for broad political reform, put forth interpretations of Islamic law that support a constitutional monarchy, and called out the government for abusive practices such as arbitrary detentions, and arrests of people peacefully exercising their right to freedom of expression and association.