"My Facebook page and Whatsapp (messenger) are the most important tools in my life and I can barely access them," Mahmoud Mohammed, an aid worker in the rebel-held port city of Hodeida, told AFP.
He said he could only access Whatsapp - a ubiquitous form of communication throughout the Arab World - through a VPN (virtual private network), and that the outage was hampering his work.
"It is very, very hard to get online and send a message. Everything is shut down. You can't open news sites," said Mohammed Abdullah, a resident of Sanaa.
Ministry employees not affiliated to the Iran-backed rebels said they were no longer welcome at work.
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The Beirut-based Social Media Exchange (SMEX), which advocates for digital rights across the Arab World, said the rebels completely shut down the internet on Thursday night and access remains difficult nationwide.
"Yemen has only one internet service provider, YemenNet, and any group or entity that controls it or has influence over it has the ability to disrupt access to the internet, so the disruptions are nationwide and not limited to areas under the control of the Huthis," said Lara Bitar, the lead researcher at SMEX.
"We are hearing from our contacts in Yemen that there is a sense of dread over a looming internet shutdown, which could be much more prolonged than Thursday night's," Bitar told AFP.
The digital rights group warned that the interruptions not only threatened press freedom, but also civilian access to emergency services.
"Shutdowns or slowdowns usually indicate potential for intensified acts of repression or violence," Bitar said.
"Yemenis we've spoken to have told us they believe recent internet disruptions are tied to attempts to cover up atrocities and crimes," she said.
Tensions have soared in Sanaa since the Huthi-Saleh alliance unravelled, culminating in the former leader's killing.
Clashes between the two sides have killed at least 234 people since December 1, and although the street warfare has subsided, the rebels' rivals have since reported a massive crackdown.
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