Noland Arbaugh, 29, who is paralysed below the shoulder after a diving accident, live streamed himself playing chess on his laptop, moving the cursor using the Neuralink device.
The Neuralink implant seeks to enable people to control a computer cursor or keyboard using only their thoughts.
Mr Arbaugh received an implant from the company in January and could control a computer mouse using his thoughts, Mr Musk said last month.
"The surgery was super easy," Mr Arbaugh said in the live stream on Mr Musk's social media platform X.