What's the difference between the definition of "organization" and "company"?

A company is almost always for business purposes, ie for profit, whereas an organization is not.

@ArpitaBarua You’re welcome. My answer is but one difference. There are so many variations that it would be easier to point out the differences between specific companies and organizations.

companies are to make money. Organizations have a cause.
it’s the main purpose or mission.

Organization also could work for profit. That’s why Non-profit Organization has its name. So could organization include company?

@johnflu Yes, it could. An organization is simply a group of individuals banded together for a common purpose. It definitely can include companies.

Like @marinelife says, an organization of individuals with common interests or goals. Company implies a business, although one can say “He’s in good company” meaning, an individual is part of a group of like-thinking people.