According to one embodiment, an electron emitting element includes a first region, a second region, and a third region. The first region includes a semiconductor including a first element of an n-type impurity. The second region includes diamond. The diamond includes a second element including at least one selected from the group consisting of nitrogen, phosphorous, arsenic, antimony, and bismuth. The third region is provided between the first region and the second region. The third region includes Alx1Ga1-x1N (0