My chain of command just announced that they're going to inspect on and off-post housing. What are they allow to inspect?

SSG, my recommendation is talk to JAG. JAG knows the laws and regulations, if your rights are being violated. We still have rights even though we serve and I think the 4th amendment applies. As a 1SG I made health and welfare visits but I didn't enter the home unless invited and didn't inspect like a barracks. It was is the house in good repair and do you have what you need to live. But it is about "intent" talk to JAG. That's my recommendation

As other barracks lawyers have pointed out, no you do not have to let your command inspect your off-post housing.
What these barracks lawyers didn't mention (at least in any of the responses I read) is that your chain of command has the authority to revoke your permission to live off post if they have any reason to believe your living conditions are unsuitable.
This is the kind of question I would have expected from a private or a wise-ass SP4, not from an NCO. Clearly you either don't give a damn about the soldiers you are supposed to be responsible for, or you think that they should have to put up with standards but you should be exempt. Either way, I am not impressed.

I bought a house that is now rented out to another soldier, actually its on its fourth tenant now on LA28 north of Fort Polk. I've periodically had CoC emailing me with questions of lease responsibilities and whatnot but in all its not really up to them, I got some heat about the lawn and this and that but its the responsibility of the tenant and has nothing to do with the Military. Lets say they want to extend their inspection to welfare right? They can see the lease, including any documents for abatement like lead and asbestos. They could get water test reports if they wanted from the municipality, thats what they CAN do. But as the soldier, your not obligated at all to share your time and space with CoC on private property anywhere in the United States, in fact this has been to court. There is no such thing as a welfare check on private property and it needs to be executed much differently to keep unit commands from getting in unnecessary grievances with their soldiers.

To cya i suggest you go to base legal and get their official view on this inspection. As a official opinion from JAG will have more backing then rally point legal

Just tell your CoC that your civilian spouse don't want them there. Your CoC has no authority over your spouse if he/she is a civilian. If you're staying in on-post housing, technically its the Garrison Commander's authority and jurisdiction. They are like the Mayor of the installation, so they do have authority and responsibility to upkeep it. However, when comes to off-post they have no authority.

i’m retired military last I remember these are the rules ,anything that physically belongs to the military , they can look at within reason, anything that is physically off posts that the military has no control over, now they can’t request or someone makes a report but then The civilian authorities get involved

I did this as a company commander at Ft Lewis from 1982 - 1984. I was able to assist my soldiers and their families to get necessary repairs; get out of leases; and even waive deposits as the landlords got to know me. My wife usually came along as did one of the NCO s and his wife. And, yes, it was at our soldier's invitation. But, it was with the expectation that I was there to help. Sometimes we even had follow on visits from JAG Admin Law.

This falls under the 4th Amendment to the Constitution and your right to be secure within your own home. The SFC at the top of this post nailed it. You may invite your CO or 1SGT into your home, but they have no right to enter your non-government quarters without a warrent.

I had a CSM who suggested an interesting policy. As has been stated that someone in the CoC cannot demand to inspect off-post quarters. BUT, the CoC can schedule a TA-50/II inspection. When that happens - give the off post personel the option of lugging all their TA-50/II on to post - up to the 3rd floor (designated area for off-post personnel) or if you prefer, your CoC will come to your house for the inspection - which would be a bit less informal.
I love giving people choices!

Wow, who up the food chain decided that just because you signed a contract and live off post that your 4th doesn't count? This sounds like a call to Army Times is in order...
Tell your 1SG to "pound sand". Then go visit JAG and ask them to clarify this to the chain of command at your post.