"Our volunteers have been kept fairly busy throughout the day," he said.
"Some of our busiest units have been Frankston, Hastings and the bayside suburbs of Melbourne."
Snow also fell in Victoria's northwest, with towns like Ballarat and Trentham hit by temperatures below 2 degrees.
The cold temperatures will make Melbourne shiver today.
"Wind chill is expected to be extreme through Melbourne. It will feel like zero through most of the day," senior meteorologist Adam Morgan said.
The SES is warning drivers to look out for black ice and drive to the conditions. The cold front is set to head east tonight, with conditions easing.
Meanwhile, Sydneysiders have received a chilly blast of winter and ice-cold winds after a powerful cold front moved across the southern part of the state this morning.
The Bureau of Meteorology has issued a severe weather warning as damaging winds of up to 90km/h buffet the state, and has warned of possible blizzards for the Snowy Mountains.
While morning temperatures in Sydney were at 10C, the bureau says the wind-chill factor makes it feel a lot colder, with temperatures as low as 1C at Observatory Hill in the city, and minus 1C at Sydney Airport.
Perth residents have shivered through a cold night, as the temperature dropped close to freezing.
The Bureau of Meteorology recorded a low of 0.7C degrees just after 6.15am local time before it slowly ticked up to 1 degree after 6.30am.
It was the city's lowest winter temperature since July 25, 2012 when the thermometer hit 0.4 degrees.
- AAP
