The h-Index was created by Jorge Hirsch, a physicist, to quantify the productivity and influence of a scholar's work. Both the number of publications and the amount of citations per article are used to calculate the h-Index.
The h-Index measures both the quantity and impact (as measured by citations) of an author's works.
While the Impact Factor, SCIMago and the Eigenfactor refer to the influence of journals, the h-Index evaluates individual researchers.
There are two freely available resources for you to obtain your h-Index:
Please keep in mind that the h-Index for these two sources will be different since they are calculating the score based on different sets of citations. There is no single source that will provide the most accurate h-Index. In addition, the Web of Science database from Thomson Reuters and the Scopus database from Elsevier will also produce different h-indexes.
You can also find h-index in "author details" under "analyzing author output" in Scopus:
If you click the Google Scholar Citation link, you will be prompted to create an account after logging into your Gmail account. The H-Index will be based on the number of citations that appear in Google Scholar.
You can decide whether to make your profile public or private. Here is the Google Scholar CItation for Michael E. Porter, a business professor at Harvard University.