Strait means narrow. This passage talks about the narrow gate in which we enter once we have received the free gift of eternal life through Jesus Christ.
The narrow gate does not imply that it is hard to enter the kingdom of God. It is narrow because not many people choose to go that way.
On the other hand, the wide gate and the broad way leads to destruction and many choose to go this way.
Jesus is the door. He is the way, the truth, and the life and no man can come to the Father but through Him. We only have to put our trust in Jesus Christ to be saved.