Stink bugs - there are several species. Adults: Brown, green, or black; with or without markings; shield shaped; up to 5/8 inch long and 1/3 inch wide. Nymphs: Resemble adults but are smaller. Stink bugs discharge a foul odor.
Adults and nymphs suck sap from the plants and from the fruit. Plants are weakened; buds and young fruits are malformed. Yellow-white spots appear under the skin of the ripe fruit (Cloudy Spot). Control of weeds in the area of the garden helps to prevent some species of stinkbugs. Organic/Biological Control is to dust with sabadilla.
Chemical Control: Sevin 5% dust (Do not apply within 5 days of harvest.)

They are resistant to many pesticides but we have pretty good luck using kaolin clay dusted on the plants - prevents them from laying eggs and sucking. Then there is the old dust buster trick - after a rain or an overhead watering they move to the top of the plants and you can just suck (or pick) them off easily.

Daily egg patrol is also helpful. Link below shows picture of the eggs so you know what to look for.

Good luck.

Dave

So, I got some of those cheap fly traps - they're spirals of sticky paper rolled up in a container. There's a tack on the top, and they're made to be pulled out and hung from the tack. So, pull the spiral partially out (it'll look like a toy light saber), discard the tack, and use the sticky 'wand' to pick up the stink bugs. You can easily get them fast enough, and can pick three or four of the little buggers up before you have to dispose of them. I used needle nose pliers to pull them off the sticky tape into a jar of soapy water.

I got over 20 stink bugs off my tomato plants in just a few minutes, plus a few little caterpillers, I didn't have to touch any bugs, and it was fun! Plus, you can push the skicky sprial back into the container and re-use. Hope this helps you.

MaryPat

I like the sticky wand idea. I bet you could wrap some duct tape around a short piece of 1/2" PVC and get a similar effect. I'd be worried about ripping off leaves, though.

Yesterday I became concerned that I was killing soldier bugs, a type of stink bug that is beneficial because it eats other bugs, not tomatoes. So I collected a few specimens and started researching. After several hours I gave up. None of my captures looked quite like the pictures and then I learned that there are over 221 species in North America. So it looks like the soldier bugs will have to pay for the crimes of their relatives.

That would work for me, except for the fact that many of my plants are over 6 feet tall now and I would need a ladder. My tomatoes are growing somewhat like kudzu.

I find stink bugs around green fruit, and when the fruit ripen, they have cloudy spot to some extent. I hate stink bugs too. But those darned flea beetles have really been a pain this year as well.

I guess I can't complain too much...other than those two pests, my tomatoes are doing great.