The law allows authorities to remove content from the platforms, rather than blocking access as they have done in the past.
The move raised concerns as people turned more to online platforms after Ankara tightened its grip on major media.
Last year, Turkey imposed a fine of 40 million Turkish liras ($ 5.43 million) on several social media platforms, including Facebook, Twitter and YouTube, for failing to comply with the social media law.
The law requires platforms that are accessed more than a million times a day in Turkey to appoint local representatives.
This also includes other sanctions, including a ban on Turkish companies inserting ads across the platforms, which are set to start with a state of continued non-compliance with the measures.
Facebook’s decision came one day before the ad ban was imposed, The Silicon Valley-based company said its decision did not change its community standards, which define what is allowed and what is not allowed via Facebook, nor its process for reviewing government requests.
The company said in a statement that it may withdraw the representative if it faces pressure over its community standards and review government requests, adding that it remains committed to preserving freedom of expression and other human rights in Turkey.
Other companies have also appointed representatives in line with the newly amended Internet law, and the YouTube platform, owned by Google, said a month ago: it had made such a decision.
Social media platforms VK, YouTube TikTok, LinkedIn, Instagram and Dailymotion have so far decided to set up local offices in the country.
As part of the legislation, social media companies must respond to Turkish government requests in Turkish and must respond to requests regarding personal and privacy rights within 48 hours.
The platforms should also publish semi-annual reports on their response rates to these requests, and they should take measures to host user data in Turkey within the country.
Facebook, YouTube and Twitter have faced fines in previous months for not complying with the law.
Companies that do not adhere to the law face a 90 percent drop in their bandwidth, essentially blocking access.
And Twitter said in this month’s report: Turkey, which has historically been responsible for the largest number of content removal requests, ranked fourth in the first half of last year, accounting for 10 percent of all global legal claims.