There are two pronunciations for the word either. You can pronounce as ee-ther or eye-ther. It really all depends on your preference. Although the Americans the first pronunciation while the British uses the second one.

Hello Dmitry, Go to this link : http://www.howjsay.com/ Write the word "either" and submit it. You will be able to hear two different pronunciations. They are both correct. Whether "eyether" as in English word "eye" or "eether" .