- His home at Broxbourne, near Hertford, was the cottage used at the beginning of the film Don't Look Now (1973), in which he appeared.
- He appeared in two Best Picture Oscar nominees: Pygmalion (1938) and Goodbye, Mr. Chips (1939). Scott Sunderland also appeared in both.
- Son of actress Viola Tree and dramatic critic Alan Parsons, and grandson of Herbert Beerbohm Tree and Lady Tree.
- David Tree's grandfather, Sir Herbert Beerbohm Tree, portrayed Henry Higgins in the first English performance of "Pygmalion" when it opened in London on 11 April 1914, at Sir Herbert Beerbohm Tree's His Majesty's Theatre.
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