Malava MP Malulu Injendi has called for the regulation of social media platforms such as WhatsApp and Facebook to stop the spread of offensive content.
Injendi has sponsored a bill which will require administrators to obtain licences from the communications regulator before they create social media groups.
The bill proposes that anyone who fails to obtain a licence should be put on trial — if convicted they should be sentenced to a maximum of one year in prison or be fined a maximum of $2,000 (£1,600).
A study published in July showed that Facebook and WhatsApp are the most popular social media platforms in Kenya, and most users are in the 25-35 age group.
According to napoleoncat.com, there are nearly 8 million Kenyans on Facebook, majority of them men (58.6 per cent).
About 12 million are also believed to be on WhatsApp.
Additional reporting by Joel Muinde.