Native Trees in the British Isles
‘Native Trees’ are defined as those trees that colonised the British Isles after the end of last ice age and before the British Isles were cut off from the rest of Europe, by the rising sea levels.
The British Isles, for this purpose, include both the island of Ireland as well as Britain. Ice covered most of the British Isles (as seen below) and the remainder of the land was frozen and devoid of tree life with the one possible exception of the Strawberry Tree in south west Ireland.
As the ice retreated, some 10,000 years ago, the land was colonised initially by Birch, some of the Willows and Scots Pine, then by Hazel, Holly and Ash with the last arrivals being Beech, Field Maple and Hornbeam.

There are generally accepted to be 33 native trees and of these, 5 are evergreen including 3 conifers. They are, in alphabetical order:
Alder Downy Birch Scots Pine
Ash Field Maple Sessile Oak
Aspen Goat Willow Silver Birch
Bay Willow Hawthorn Small Leaved Lime
Beech Hazel Strawberry Tree
Bird Cherry Holly Whitebeam
Black Poplar Hornbeam White Willow
Box Juniper Wild Cherry
Common Oak Large Leaved Lime Wild Service Tree
Crab Apple Midland Thorn Wych Elm
Crack Willow Rowan Yew