Yes, he has assburgers.
Do you think it will affect your ability to do the job you are applying for? If the answer is no then don't check it. It's no ones business.
If its not going to affect your ability to perform job duties, absolutely check it.
1) business get a tax write off for hiring developmentally disabled workers
2) its against the law to discriminate against a disability if it doesnt affect job performance
3) how severe on the spectrum are you? Will you be subjected to triggers that would make it an unpleasant work environment?
If not, no reason to hide it. Autism is a diverse disability, and in many cases those affected excell at certain things while being hindered by others.