The Category 1 hurricane is expected to produce unsafe winds, surf and heavy rainfall in Portugal and Spain on Saturday night and Sunday, the center said.
A resident of the Figueira da Foz told a local news outlet, "I have never seen anything like it, The town seemed to be in a state of war, with cars smashed by fallen trees".
In Portugal cancelled three dozen flights and closed several highways and Railways.
The National Civil Protection Authority (ANPC) has chose to keep the yellow alert in mainland Portugal until 24:00 local time on Monday, as there are structures that can fall and "too much work to clean" what was damaged by the passing of the Leslie.
More than 15 thousand houses in Portugal were left without electricity because of the storm "Leslie".
Winds of up to 100kmh uprooted trees in the centre of the country early yesterday morning.
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Extremadura has also asked its citizens to be very careful if they travel on the roads, warning of possible landslides, flooding of roads and also warned people not to park in dry riverbeds.
Meteorological records indicate that only five hurricanes have ever arrived in this part of the Atlantic Ocean, and Leslie could turn out to be the most powerful storm to hit Portugal since 1842.
Only Hurricane Vince has made landfall on the Iberian peninsula over the last 176 years, hitting southern Spain in 2005, according to weather records.
The storm is expected to become a post-tropical cyclone and dissipate by Sunday night or Monday.
It comes just days after intense rain sparked flash floods in the Spanish holiday island of Majorca, killing 12 people including two Britons.
Hurricane Leslie is forecast to weaken slightly as it moves east toward the Iberian Peninsula on Saturday, the National Hurricane Center (NHC) said.