"At the moment, 23 people are dead and at least 65 are at hospitals with injuries of various degrees," the source said.
However, the local administration confirmed to RIA Novosti that at least 12 people were injured in the rocket attack in Latakia.
It is unknown yet which militant group has carried out the attack in Latakia.
Two blasts occurred on Tuesday on a highway connecting the city of Latakia and a Russian airbase. According to eyewitnesses, the rockets were fired from the outskirts of Latakia. They fell near a local university building. A local police department is also situated in the area.
The center of Latakia is currently blocked by military checkpoints; police and military are at the scene, a RIA Novosti correspondent reported.
Syria has been mired in a civil war since 2011, with government forces fighting on multiple fronts against a so-called opposition factions and extremist groups, including Islamic State and the Nusra Front.