He said that if women failed to improve their English, their "ability to stay in the UK" could be affected.
But using the hashtag #traditionallysubmissive, people have posted pictures highlighting Muslim women's independence, education and contributions to British society and ridiculing David Cameron’s comments.
The "traditionally submissive” hashtag started to appear on Sunday.
Fiza Azlam posted a picture of herself holding a poster which states she has worked in the NHS for 22 years, speaks five different languages all while being a grandmother to 10.
Alongside the picture, she wrote: "Muslim women are not a problem that needs solving."
Hers was among a host of tweets bearing the #tradtionallysubmissive hashtag:
@david_cameron #TraditionallySubmissive Why don't u get to know us before u feel u have the right to comment on us pic.twitter.com/vvsmSLFX5u
— Fuf Virani (@FufV22) January 24, 2016
@DavidCameron_MP #TraditionallySubmissive really? I really don't think so pic.twitter.com/7EtHB1t8cs
— ZainabLaLaLa (@AyyLaLaLaLa) January 24, 2016
Muslim women are not a problem that needs solving. #TraditionallySubmissive @David_Cameron pic.twitter.com/6IcG3cZSth
— Fiza Azlam (@FizaAzlam) January 24, 2016
Here's what I have to say re "studied concern" over Muslim women's hair,language choice,or #TraditionallySubmissive pic.twitter.com/9P521mjkkE
— Hend Amry (@LibyaLiberty) January 24, 2016
Berlin's #KhadijaMosque—Not only designed & funded by women but also named after a woman. #TraditionallySubmissive pic.twitter.com/8I5mlbCt79
— Equal Entrance (@EqualEntrance) January 25, 2016
Far from being #TraditionallySubmissive, women in Islam have held some extremely important positions. That's a fact. pic.twitter.com/2ENJzSxQ6p
— Dr. Craig Considine (@CraigCons) January 24, 2016
On announcing the plans, Mr Cameron had said: "We will now say if you don't improve your fluency, that could affect your ability to stay in the UK."
Source: Independent