The h-index is a metric that measures the productivity and impact of an individual's research publications. It is calculated by considering the number of papers an individual has published, as well as the number of citations those papers have received. An h-index of "h" means that an individual has published "h" papers that have been cited "h" times or more.
There are several ways to potentially increase your h-index if you already have 250 research publications in reputable journals:
Publish in high-impact journals: High-impact journals are typically those with a high Impact Factor, which is a measure of the frequency at which the "average article" in a journal has been cited in a particular year. Publishing in such journals can increase the likelihood that your research will be cited by others, which in turn can increase your h-index.
Ensure that your publications are highly visible: Make sure that your publications are easily discoverable by others by posting them on your personal website or research profile, or by sharing them on social media or research networks. The more visible your publications are, the more likely they are to be cited by others.
Collaborate with researchers in your field: Collaborating with researchers in your field can help increase the visibility and impact of your research, as well as increase the likelihood of your publications being cited by others.
Get involved in research networking: Attend academic conferences, join professional organizations, and engage with researchers on social media and other platforms. This can increase the visibility of your work and potentially lead to more citations.
Keep publishing: Continued publishing in reputable journals will likely lead to more citations and increase your h-index over time.
Please keep in mind that h-index is not the only indicator of a researcher productivity and impact, Also its not the only thing that should be focused on, The quality and the importance of the research are more important than the quantity of the research.
Of the suggestions given by Dr Fredrick Ishengoma , I would suggest the most helpful are "keep publishing" and "publish in high-impact journals". I have found those to be the most helpful to improve my citation rate (and, hence, h-index).