Tuesday's 24-hour strike by the civil servants' umbrella union and other labor groups has also knocked out most forms of public transport in Athens, although the capital's underground will function most of the day.
Seamen's unions have gone ahead with their strike, affecting the ferry system, despite a court ruling it illegal.
Unions oppose parts of the proposed legislation that will make it harder for them to call strikes, will allow workers to vote remotely on industrial action without attending meetings and permit changes in some collective work agreements.
Unions are planning demonstrations later Tuesday in central Athens.
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