The law was implemented in 2009 to fine copyright infringers.
The French government has suspended a three strikes anti piracy law, which threatened to cut off Internet connection for copyright infringers.
Under the so called Hadopi law, which was implemented in 2009, if anybody violates copyright law more than three occasions can face sanctions as well as fine up to $2,200 and can be blacklisted from getting services from another ISP.
The Guardian reported that the French government will replace the law with a new fine system that begins at €60 for users who repeatedly ignore warnings, and the penalty may increase depending on the number of violations. France Minister of Culture and Communication Aurélie Filippetti said the law was totally inappropriate because it illustrated the change in direction that the Government was committed in the fight against piracy works on the Internet.
"The priority now is the fight against commercial piracy, otherwise against sites that profit from pirated content, monetise without pay creators," Filippetti said.
"This is a change in philosophy, which is based on the desire to no longer oppose the creators and users threatening them a break from their access to the Internet, while the latter has become a major gateway to the culture, especially for young people."
Earlier this year, it was revealed that the French government is planning to propose a new law by the end of 2013, which is aimed at changing tax procedures to make sure global Internet firms, such as Google and Amazon, pay their taxes.