There were reportedly three assailants in a pickup truck, and two of them shot indiscriminately into the front of the house in Pak Chong district on March 1. No one was injured.
Pol Maj Gen Anucha Romayanan, deputy spokesman of the National Police Bureau, said the Nakhon Ratchasima Court approved an arrest warrant for one of the gunmen.
The suspect was a man who wore a baseball cap and fired a heavy weapon at Mrs Sasima's home and the wall surrounding it.
He was charged with many counts including damaging assets and invading other people's property during night time with firearms, and illegal possession of a gun and ammunition that could not be registered.
The attack could be linked to an incident on Feb 26 when Taya and her husband Nattapol blew whistles at Pojaman na Pombejra, the former wife of ex-premier Thaksin Shinawatra, at a Bangkok shopping mall.
Mrs Taya and her husband were leaders of the People's Democratic Reform Committee (PDRC) but after the attack, she announced the suspension of her political activities with the anti-government protest.