You can try using a Negative Lookahead if you want to use a regular expression.
^(?!.*NewTree).*$
Live Demo
Alternatively you can use the alternation operator in context placing what you want to exclude on the left, ( saying throw this away, it's garbage ) and place what you want to match in a capturing group on the right side.
\w*NewTree\w*|([a-zA-Z]+)
Live Demo
In Python:
( The strings being in list context, as you commented 'array' above )
>>> import re
>>> regex = re.compile(r'^(?!.*NewTree).*$')
>>> mylst = ['BoostKite', 'SetTree', 'ComeNewTree', 'NewTree']
>>> matches = [x for x in mylst if regex.match(x)]
['BoostKite', 'SetTree']
If it is just a long string of multiple words and you want to ignore the words that contain NewTree
>>> s = '1.BoostKite 2.SetTree 3. ComeNewTreeNow 4. foo 5. bar'
>>> filter(None, re.findall(r'\w*NewTree\w*|([a-zA-Z]+)', s))
['BoostKite', 'SetTree', 'foo', 'bar']
You can do this without a regular expression as well.
>>> mylst = ['BoostKite', 'SetTree', 'ComeNewTree', 'NewTree']
>>> matches = [x for x in mylst if "NewTree" not in x]
['BoostKite', 'SetTree']