The images you see on Google images are mainly taken from the websites that google has indexed.
To have your own images on Google image search you need to upload them onto your website then when google index's your site they should appear on google image search.
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Search by Image is available now at images.google.com or via the
"Images" tab in the left-side menu on Google.com. I think Google's
first search-by-image tool started in 2009.
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google image search
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Google fills its index for image search by crawling the web.
Upload your images to a web-site, wait for Google to re-index the
site, and your images should show up in image search within a
couple weeks.