Prime Minister Manasseh Sogavare said the "recent events were well planned and orchestrated" to remove him as the premier "for unsubstantiated reasons."
More than a hundred people were arrested as police found three charred bodies in a store in the Chinatown district.
Chronic unemployment and governance are the main triggers of public discontent that have morphed into a massive agitation.
Prime Minister Manasseh Sogavare claimed foreign powers opposed to his 2019 decision to switch the Solomons' diplomatic allegiance from Taiwan to China were behind the disturbances.
PM Manasseh Sogavare says ongoing unrest is being "influenced and encouraged by other powers" over his government's decision to switch alliances from Taiwan to China.
Solomon Islands Prime Minister Sogavare had declared a lockdown after about 1,000 people gathered in protest in the capital, Honiara, demanding his resignation over a host of domestic issues.
Protesters have been demanding the resignation of Prime Minister Manasseh Sogavare over a host of domestic issues including unrealised infrastructure promises.
Cyclone Harold, its strength ranked in the highest category of five, passed over Fiji's south at about midday, levelling homes and snapping communications links in the archipelago, which has adopted curbs on movement to rein in the virus.
Tropical cyclone Harold, which claimed 27 lives when it swept through the Solomon Islands last week, strengthened overnight Sunday as it moved east towards Vanuatu.
The inter-island ferry sailed into a severe storm ignoring weather warnings. While a search of the area found plenty of debris, there was no sighting of any bodies, police superintendent Richard Menapi said.
The MV Taimareho set sail on Thursday night as tropical cyclone Harold bore down on the Solomons, and with weather forecasters warning against any unnecessary voyages.
Taiwan's termination of relations with the Solomon Islands comes after the pacific nation's decision to switch diplomatic recognition to China. Taipei is accusing Beijing of using "dollar diplomacy" to buy off its few remaining allies.
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