It probably depends on your state. I’m assuming this is a homework question. I will give you a little clue but I won’t interpret it for you.
California Budget Process.

I googled “Texas state budget” and found this discussion and explanation of who, how and when. http://ballotpedia.org/Texas_state_budget

Scroll down to “Budget Background.” Next time you have a question about the complexities of the Texas government, I would bet that you can do the research yourself. We have already helped you three times.

http://www.fluther.com/users/Recon_Warrior/questions/

In New York, the governor has most of the authority to propose the budget, the theory being this prevents corruption. In practice, the governor just acquiesces to legislators’ corruption, of course.

It’s done the same as the Federal Government: The Executive proposes, the Legislature considers, and modifies and alters, and approves a budget that is sent to the executive for approval or veto.