Acts 5:27-32

The apostles were called to account and charged with ignoring the orders of the Sanhedrin and trying to make them guilty of Jesus' death. 

Peter gives them a straight answer. First they must obey God rather than man. Now this raises the question of when we should and should not obey human authorities, for the general teaching of the Bible (eg Romans 13 in the NT) is that we should respect and obey human authorities. The general rule is that we obey human authorities unless they tell us to do something that is explicitly against God's ways. Even so, this will still leave grey areas. A good rule of thumb to ask yourself is "who pays the price of my disobedience". If it is someone else, then you are almost certainly not following God's will, but are instead acting out of your own "wisdom" or "self-interest" dressed up as God's will. In the case here it was the apostles who would pay the price.

Then Peter makes it quite clear that it was the Sanhedrin who had Jesus killed. God intervened by raising Christ from the dead, and His will now was that Israel repent and receive forgiveness. It is interesting to note how God acted in the situation. Men plotted to kill Jesus. God let them kill Him, and then raised Him from the dead. He did not stop them killing Jesus, for as we know He was achieving a greater purpose on the cross. It can seem at times that God is doing nothing in a situation, as did on the first Easter right up until the first Easter Sunday. What was actually happening was that something more amazing than we could possibly imagine was occurring, namely the paying of the price for our sins, and setting us free from the power of sin. In areas in your life when God may seem to be doing nothing, He may in fact be doing something far deeper and more wonderful than you imagine.