Your h-index is zero because, as a metric of both publication number and citation impact, it requires you to have at least 'n' papers with at least 'n' citations to achieve an h-index of 'n'. With a zero h-index, you likely have publications but they have not yet accumulated enough citations to meet the criteria for even the most basic h-index values, or the citation database may not have been updated or properly set up to display your work.
First of all, do you understand how the h-index is calculated? It's the maximum value h such at you have h papers that each have been cited h times. For example, an h-index of 7 means you have 7 papers each that was cited 7 times. (Note that your h-index will depend on who's counting citations.)
Next thing to do is to figure out what is keeping your h-index down. Is it number of papers (unlikely) or number of citations (probable)?
If it happens, say, that your h-index is 8 and you only have 8 papers, then it will never go up until you write more papers.
If it happens you've written more papers than your h-index, then you need to get your citation count up. The first thing to do is make sure that whoever is calculating your index has all your papers, and has them grouped correctly.