It also expressed concern over the "declining" Hindu population in the state.
A resolution adopted at the three-day meeting of the Akhil Bharatiya Pratinidhi Sabha (ABPS), the RSS' top policy making body, condemned the extremist violence.
"This (decline in Hindu population in West Bengal) is a matter of serious concern to the unity and integrity of the country," RSS Joint General Secretary Dattatreya Hosabale said while briefing reporters about the deliberations.
Hosabale said after partition, the Hindus from East Pakistan were forced to seek refuge in West Bengal.
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It was not surprising that due to such large influx, the Hindu population in the state, which constituted 78.45 per cent in 1951 had declined to 70.54 per cent as per the 2011 census, he said.
According to 2011 census data, Hindus constituted 70.54 per cent of the population compared to 72.47 per cent in 2001. Muslim population rose to 27.01 per cent from 25.25 per cent during the period under comparison.
Hosable urged the Centre to ensure firm action against the anti-national jehadi elements within the state in the interest of national security.
Listing out several incidents of bomb blasts, arson, violence and "molestation of women" reported in West Bengal in the past few years, Hosabale said the worst sufferers of these atrocities on the Hindu society had been the members of Scheduled Castes.
"The Hindus were subjected to a pre-planned attack resulting in horrid incidents of arson, looting and molestation of womenfolk at Dhulagadh on December 13 and 14, 2016," he alleged.
On the RSS allegation of increasing attacks on Hindus in West Bengal and on the BJP workers in Kerala, Hosabale accused the state government of supporting jehadis in West Bengal.
Dubbing the situation in Kerala too as "worrisome," he said that after LDF victory in the assembly elections, there had been sudden increase in the attacks on activists and organisations associated with the RSS.