Albert Barnes Commentary Acts 3:16

"And by faith in his name hath his name made this man strong, whom ye behold and know: yea, the faith which is through him hath given him this perfect soundness in the presence of you all." — Acts 3:16 (ASV)

And His name. The name of Jesus is here used to represent Jesus Himself; and it is the same as saying, "and He," etc. In this way, the word name is often used by the Hebrews, especially when speaking of God (Acts 1:15; Acts 4:12; Ephesians 1:21; Revelation 3:4).

It does not mean that there was any efficacy in the mere name of Jesus that would heal the man, but that it was done by His authority and power.

Through faith in His name. This means by faith in Him; that is, by the faith which Peter and John had in Jesus. It does not refer to any faith that the man had himself, for there is no evidence that he believed in Him. Instead, it was by means of the faith which the apostles exercised in Him that the miracle was performed. This was thus a fulfillment of the declaration in Matthew 17:20, "If you have faith—you shall say to this mountain, 'Move from here,'" etc. Peter repeats this truth two or three times in the verse to impress it more distinctly on the minds of his hearers.

Whom you see and know. Therefore, there could be no mistake. He was well known to them. There was no doubt about the truth of the miracle (Acts 4:16), and the only inquiry was how it had been done. Peter affirms this to have been accomplished only by the power of the Lord Jesus.

Perfect soundness. oloklhrian. This word is not used elsewhere in the New Testament. It denotes integrity of parts, freedom from any defect; and it here means that the cure was perfect and entire, or that he was completely restored to the use of his limbs.

In the presence of you all. You are all witnesses of it and can judge for yourselves. This shows how confident the apostles were that a real miracle had been performed. They were willing for it to be examined, and this is conclusive proof that there was no attempt at imposture. A deceiver, or one who pretended to work miracles, would have been cautious about exposing the subject to the danger of detection.