Original cartridges usually work fine, unless installed incorrectly. Compatibles and refill can have leaks, due to open air vents or overfilling.
This site click here suggests that you 'tissue' the print heads.If you try the suggestion, then make sure you have adequate newspaper, and rubber/latex gloves available. Printer ink can be very messy and difficult to clean-up. If the leak continues, then consult the supplier of the cartridges or HP support line.