You don't need to read the next line, you are iterating through the lines. lines is a list (an array), and for line in lines is iterating over it. Every time you are finished with one you move onto the next line. If you want to skip to the next line just continue out of the current loop.
filne = "D:/testtube/testdkanimfilternode.txt"
f = open(filne, 'r+')
lines = f.readlines() # get all lines as a list (array)
# Iterate over each line, printing each line and then move to the next
for line in lines:
print line
f.close()