The recent spate of attacks against "secular rationalists, minorities and foreigners clearly shows that the activities of the fundamentalists are on the rise", a statement by the party Polit Bureau said.
It hoped that the Government of Bangladesh will bring the perpetrators to book and restore normalcy at the earliest.
"The people of Bangladesh have a heroic legacy of struggling unitedly for the liberation of the country cutting across all barriers of religion. The Polit Bureau of the CPI(M) hopes that the people of Bangladesh will continue to uphold this legacy and thwart all efforts to spread violence and anarchy in the country," the statement added.