ANSWER: Without a doubt Jesus christ could read the minds of others.
4. But Jesus, perceiving their thoughts, said, "Why are you thinking evil in your hearts? (Matthew 9, see also Luke 9:47)
The word of God reads and judges our thoughts and attitudes. Everything we think can be clearly seen by him. In the book of Hebrews, the apostle Paul states that God's spirit can find out all of the thoughts and desires in our hearts. Absolutely nothing is hidden from the Great God (Hebrews 4:12 - 13)!
'Get away from me, Satan! You are an obstacle in my way, because these thoughts of yours don’t come from God, but from human nature.' (Matthew 16:23)
The devil cannot and doesn't not know our innermost thoughts. He simply can't read our minds, otherwise, he would not have wasted his energy trying to tempt Job (Job 1:6-12), or even Jesus when he was a flesh and blood human (Matthew 4:1-11). The devil certainly does have the power to deceive those who do not follow God.
9. And the great dragon was cast out, the ancient serpent who is called the Devil and Satan, who is deceiving the whole world; he was cast down to the earth . . . (Revelation 12:9)
Jesus, when He died for our sins and began to establish his kingdom, put Satan under the power and authority. The devil no longer has power over us - and through God we can assurred that he cannot read our thoughts.