The Megh cyclone slammed the Socotra archipelago in South Yemen on Sunday, a week after the Chapala cyclone battered it along with other provinces on the Arabian Sea, local officials said.
Heavy rains are falling on the archipelago along with strong winds and rising waves, they said.
On Friday, the world meteorological organization said the Megh would not be powerful like Chapala and would ease quickly.
Chapala killed around a dozen people and displaced more than 40.000 others. Moreover, it destroyed around 450 houses partly and completely.
Separately, the battles between the government forces and the Houthi militants escalated in the provinces of Taiz, Dhali, Marib and Baidha.
In Dhali, the first southern province retaken from the Houthis in May, local sources said the government has deployed reinforcements to the district of Damt which the Houthis are seeking to take over.
Houthi media said the Houthi forces have gathered to invade the south primarily through the province of Shabwa.
The pro-government forces with support from the Saudi-led coalition drove the Houthis from southern regions in June and July after months of bloody battles.
In Taiz, local sources said around 24 Houthis were killed in raging battles in the past 24 hours amid preparations to drive the militants of this province.
Lately, the coalition deployed troops and heavy equipment in support of the national forces in Taiz.