This blind man was Bartimaeus, the son of Timaeus, as Mark tells us, Mark 10:46. Matthew mentions two, the other two evangelists but one, as being more famous, either upon his own or his father's account.
Related Commentaries of Luke 18:35
Luke 18:35
35 And it came to pass, that as he was come nigh unto Jericho, a certain blind man sat by the way side begging: