Accredited for what and by whom?
There is a legal accreditation system run by the government for all schools, and they have some requirements concerning number of graduates etc - nothing to do with what is taught. This is related to getting funds from the govt to attend a school.
If you are looking for accreditation of an online school with say a university - each university has its own policies by which it accepts the teachings of a homeopathy school - so look to the university where you want to proceed, to find what THEY will "accredit".
If you mean in USA, there is no such thing as national certification.
Health related laws are state level in USA and each state has its own laws. Only three states have licensing for homeopaths. Each state has individual laws and most states have no specific laws about homeopathy: That means you get to practice whatever is not disallowed by the state definition of "practice of medicine" (or "practice of veterinary medicine" for veterinary homeopaths.)
If you want some kind of national okay that you are a qualified homeopath, it does not exist in USA.
You can get that in say New Zealand.
That is - unless you have a medical degree of MD or DVM in USA. In that case, you can legally diagnose, treat, prescribe whatever homeopathy you like - with no education whatsoever in homeopathy.
There are several *private* groups of individuals in USA who would LIKE you to pay them money to "certify" you. They are NOT recognized in any state and they do not have a school-agreed or any homeopathy agreed level of competence that they test for.
They each have a set of rules you must meet to get their certification but it is independent of any school, (each group has different ones) and they collect an exam/application fee - pus an annual fee from you for this. (For which you get nothing I can find - and I've asked what one gets in return with no satisfactory answer.)
MY advice:
* If your real aim is to be a good homeopath - then look for the best teaching of homeopathy that you can find.
Nothing is as important as how good your tutor is.
* If your real aim is to make money, get the least expensive MD or DVM you can find.
* If you want to be nationally recognized officially, find a country that does that and move there. USA does not do it.
* To work in USA without a MD or DVM, regardless whether you "get certified" by some private group or other, and regardless what school or tutor you choose - your MAIN issue is to read and understand the state law on practice of veterinary/medicine and MAKE ABSOLUTELY SURE that YOU (not some lawyer) understand what you can do and what you can not do, within that law.
* SOME qualifications are accepted for national registration or licensing in other countries.
TO my knowledge the main ones accepted are D.I.Hom and D.Vet.Hom *degrees*.
(The 4 weekend training type course that some vets do for a "CVH" certificate, is NOT okay in any other country for registration - but the vets who do it in USA, like it.)
But you forgot to say where you live:-)
This is an international list. Usually it is Americans do that

.....so I have assumed for now....
My own program is in veterinary homeopathy and is longer than that at my school (IVYHOM is registered in WA state). It involves multiple course units, paid for on an "as you do them" basis. It is NOT accredited for scholarships or state funds. Degree is an advanced D.Vet.Hom. (A.D.Vet.Hom).
It sounds like you want a human homeopathy emphasis.
There's a good distance school in New Zealand, and you'd need to go there for at least some aspects, last I looked. There's a good one in Sweden. I did my D.I.Hom at British Institute of Homeopathy (BIH), London, UK; the school has since been bought by USA's BIH branch.
Watch out for schools teaching "allopathically" - some teach what to use for kidney disease, what to use for lier disease, etc - that is NOT homeopathy, and you will be a very poor homeopath after such approaches.
Here are some ideas mainly MY views at MY school, and I menton them more to give an idea of what can be at a school - I do not know one for human homeopathy, so geared:
Comprehensive - depends on your tutor, and how good THEY are as a homeopath.
ALso depends on the school - some teach just the homeopathy, and you need to go elsewhere or do extra courses for other things.
In my school, apart from homeopathy, I include how to be in business legally in your state/country, how to read blood and other lab work and data properly including differential diagnosis, how to read research and determine what aspects are valid and which have false assumptions behind them, how to correlate physiology and pathology to determine symptoms and then rubrics in animals, dangers of drugs already used and what to do about it, Modern homeopathy such as Fibonacci potencies, complex immune compromise cases, supplements and nutrition for the species and when to use which. When ready, students take cases, with the tutor following them, till the student is capable and confident on their own.
ANy student at any school (and any homeopath) is welcome to join my veterinary homeopathy group for discussions of this kind, at Vethom-freinds yahoo group. (There's also an IVYHOM-specific group, but it is more for specific exam questions. Some questions read "Discuss such and such with the student body here, add your own research and write a paper to justify your views, present it to the group". It's so you can later write research papers, and also know how to properly investigate a complex case where you start out with insufficient information.)
Investigate well before choosing:-)
But first determine YOUR goals....money? healing? curiosity? research? teaching? ....
Namaste,
Irene
REPLY TO: only
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Irene de Villiers, B.Sc AASCA MCSSA D.I.Hom/D.Vet.Hom.
P.O. Box 4703 Spokane WA 99220.
www.angelfire.com/fl/furryboots/clickhere.html (Veterinary Homeopath.)
"Man who say it cannot be done should not interrupt one doing it."