H5P provides a very tight integration with Open edX through H5P.com.
With H5P.com content may be created from within Open edX, you get your own H5P content repository in Open edX, and grades are stored in Open edX. H5P.com also provides analytics within Open edX so that teachers may see what the learners answered to the different questions within the H5P Content.
To get started with H5P in Open edX just go to H5P.com and start a 30-day free trial. You should make sure your Open edX admin is ready to set up the LTI integration.