Can Someone suggest me an MBA for people with 3 Years work experience for career progression.

I hear Harvard is very good, and it is open to people with less experience.

Do you have specific goals?

The average work experience at Harvard tends to be in the ~ 4 years range, although if you were looking at fall 2017 intake that would give you another year of work experience before matriculation. If your GMAT score was in their range (~730) and you had the kind of profile that the school was looking for, I suppose this could be an option.

The sweet spot for most MBA programs is in the 4-6 years of work experience range. Very generally speaking, other US b-schools like Columbia, NYU, Booth, etc. tend to recruit students with around this range. But if you were looking at lower-profile US schools that generally recruited students with less work experience, I would look at Baylor, Miami, Willamette, UNC Greensboro, UT Knoxville, Syracuse/Whitman, and Utah - Eccles, to start with...