Segment the blood orange and remove as much of the pith as possible. Cut each segment into bite size pieces and place into a medium bowl.
Deseed the pomegranate. The best method is usually to half or quarter the pomegranate and then to submerge each half or quarter into cool water. In the water, the seeds separate more easily from the white membrane. Place the seeds in the medium bowl with the blood orange.
Dice the red onion and jalapeno and add to the bowl with the blood orange and the pomegranate.
Tear the cilantro. Add the torn cilantro, the lime juice, and the salt to the bowl.
Toss all the ingredients together and let sit for at least 30-60 minutes before serving. The longer it sits, the better the flavors marry.