All three Synoptics record this miracle (Mt 20:29–34 with two blind men, Mk 10:46–52, Lk 18:35–43). St. Mark gives Bartimaeus by name — 'son of Timaeus' — one of very few named individuals healed by Christ.
Bartimaeus was begging by the road as Christ passed by, leaving Jericho on the ascent to Jerusalem. Hearing it was Jesus of Nazareth, he began to cry: 'Jesus, Son of David, have mercy on me!' Many rebuked him, that he should hold his peace; he cried out the more: 'Son of David, have mercy on me!' Christ stood still and commanded him to be called. The crowd said: 'Be of better comfort: arise, he calleth thee.' Bartimaeus, casting away his garment, leapt up, and came to Him.
Jesus asked: 'What wilt thou that I do to thee?' He answered: 'Rabboni, that I may see.' Jesus said: 'Go thy way; thy faith hath made thee whole.' Immediately he saw, and followed Him in the way. This is the last healing miracle of the public ministry recorded by St. Mark — the immediately following chapter is the Triumphal Entry into Jerusalem. The blind man, called by name, who casts away his garment and follows Christ into the Passion, is the type of every Christian.

