The spellings ax and axe are both correct, but axe is more common, both in the US and elsewhere. ... While one might expect that ax is the spelling favored in the U.S., and axe the spelling favored elsewhere (as is the case with a number of spelling variants), the situation with ax and axe is different.
Is it ax or axe AP style?
The AP Stylebook, a popular American journalistic style guide, for instance, lists the word to be written as ax, not axe. But, Garner's Modern American Usage still lists axe as the more common of the two in American English and more common in English overall by a margin of 2:1, so the actual usage is unclear.
Is ax a valid word?
Yes, ax is in the scrabble dictionary.