Organisers say protests will be staged in front of the parliament in the capital, Damascus, on Friday and Saturday, and at Syrian embassies across the world.
Several pages have been set up on Facebook, with the most popular one, named "The Syrian Revolution", "liked" by about 13,000 people by Thursday.
However, many of those writing comments on Facebook appeared to be Syrians living abroad calling on their "brothers" at home to protest.
Sources in Syria told Al Jazeera they doubted that the calls for protests would really result in much action on the ground.
"I think the day of anger will turn out to be no more than a day of mild frustration," one journalist told Al Jazeera.
"There's no appetite for regime change in Syria as there has been in Egypt for a while. The president isn't hated as much as [Hosni] Mubarak, or seen as out of touch. Also, the local context is very different ... and the poverty rate is significantly lower in Egypt."
Demonstrations planned
Organisers said demonstrations would be held in the Syrian cities of Damascus, Homs, Aleppo and Qamishli, and in countries including Canada, US, UK, Sweden and the Netherlands.
"For all the fine Syrians who live outside the Syria ... you can help your brothers in Syria by demonstrating in front of Syrian embassy where you live, the same day and same time," one post on Facebook read.
Fidaa Aldin Issa, a Syrian living in Sweden, said a number of activists, including himself, had found each other on Facebook and were now co-ordinating the protest plans.
"It's an independent youth initiative, without any ethnic or religious group, or political party, behind it," he told Al Jazeera.
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