Leader of Opposition Abdul Mannan and Congress MLAs demanded a discussion in the Assembly on the issue. Left legislators also supported the demand.
When the discussion was denied, MLAs of both the Congress and the Left Front came down to the well of the House and shouted slogans against the government.
They carried placards and mosquito net accusing the government of failing to control spreading of the disease.
Later, legislators of the two parties staged a walkout.
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CPI(M) MLA Tanmoy Bhattacharya said the minister of state for health has made a statement on the issue but a proper discussion was not allowed.
This is not acceptable, he said.
The BJP, however, did not take part in the protest and walkout by the Congress and the Left Front and said the two parties are not seen on the road protesting on this issue.