A mix of native and non-native species will be planted in a range of sites across the city to replace trees damaged during storms last year or lost to Dutch elm disease.
"Over the last few years high winds and disease have taken their toll on Edinburgh’s tree stock," said environment chief councillor Lesley Hinds, who planted the first tree last week in Princes Street Gardens.
"We recognise the need to ensure we have a healthy tree population for the future. This will provide a welcome boost to the city’s beautiful parks and green spaces and improve the attractiveness of the local area."
The 373 trees are expected to be all planted by the end of February 2013.