Step 1Scrub the bitter melon clean and trim the ends. Halve the melon lengthwise and scoop out the seeds with a spoon. Cut each half crosswise into 1/16-inch-thick half-moon slices.
Step 2Place in a bowl, add 1 ½ tablespoons salt, and gently massage the salt into the bitter melon until evenly mixed. Let stand for at least 45 minutes.
Step 3When ready to serve, cut the green tomatoes crosswise into 1/16-inch-thick slices. Arrange on a serving platter and sprinkle with salt. Lift the bitter melon out of any accumulated juices and arrange over the tomatoes.