Add SUM of values of two LISTS into new LIST

The zip function is useful here, used with a list comprehension.

[x + y for x, y in zip(first, second)]

If you have a list of lists (instead of just two lists):

lists_of_lists = [[1, 2, 3], [4, 5, 6]]
[sum(x) for x in zip(*lists_of_lists)]
# -> [5, 7, 9]

Default behavior in numpy.add (numpy.subtract, etc) is element-wise:

import numpy as np
np.add(first, second)

which outputs

array([7,9,11,13,15])

From docs

import operator
list(map(operator.add, first,second))

Assuming both lists a and b have same length, you do not need zip, numpy or anything else.

Python 2.x and 3.x:

[a[i]+b[i] for i in range(len(a))]