Her comments came after the Foreign Correspondents' Club announced on Monday it will cancel this year's Human Rights Press Awards.
Deputy chief executive officer of the Hong Kong Public Opinion Research Institute Chung Kim-wah also left the city, citing the legal risks he was facing.
Lam told a press briefing yesterday that freedom of the press is one of the rights outlined in the Basic Law.
She described the cancellation of the awards and Chung leaving the city as "isolated incidents" which "might have given people the wrong impression, especially people who tend to misunderstand the constitutional safeguard for press freedom. One has to observe the law in exercising freedom."
Meanwhile, Hong Kong comics artist Ah To announced his departure from the SAR on Facebook yesterday, saying his spirit will remain in his homeland even though he is already in exile.
Ah To is a prominent illustrator and artist whose works express concerns on local issues, primarily political and social events.
Similarly, human rights solicitor Michael Vidler also left Hong Kong. Vidler is the founder and senior partner of Vidler & Co Solicitors. The firm announced it would cease to practice in Hong Kong from June 3.
Vidler was spotted at Hong Kong International Airport on Monday night while catching a flight to the UK.
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