The nature of Christ’s humility is that of a slave or servant. Even though He was God, He did not necessarily use that fact to His advantage. He came in Human form taking on the flaws and weakness of a human body, except sin. He could have come in majesty and all the glory of God, but He chose to humble Himself. He did this not thinking of Himself; He did it for us. He humbled Himself to the extent of dying on a cross. The most humiliating and anguishing death available at the time, maybe of any time period. In humbling Himself, God exalted Him and gave Him the name above names and in the day of judgment, everyone will know Him as LORD. In a sense, God died to Himself.
Our attitude should be that of Christ not selfish or boastful, but humble thinking of ourselves less. God came to us as a humble servant leading people to a better life. As a servant-leader one gives for the betterment of those around him. By being a servant-leader in our personal relationships we pull each other up when we see someone down; while pulling each other down when one is too lofty. If our goal as Christians is to be more Christ-like; then, we use Christ as our model of humility. We die to ourselves to edify, exalt, admonish, and correct our brothers and sisters in Christ.
“Humility is not thinking less of yourself, but thinking of yourself less.” C.S. Lewis