Therefore, while the promise of entering his rest still stands, let us fear lest any of you should seem to have failed to reach it. (2) For good news came to us just as to them, but the message they heard did not benefit them, because they were not united by faith with those who listened. (3) For we who have believed enter that rest, as he has said, “As I swore in my wrath, ‘They shall not enter my rest,'” although his works were finished from the foundation of the world. (4) For he has somewhere spoken of the seventh day in this way: “And God rested on the seventh day from all his works.” (5) And again in this passage he said, “They shall not enter my rest.” (6) Since therefore it remains for some to enter it, and those who formerly received the good news failed to enter because of disobedience, (7) again he appoints a certain day, “Today,” saying through David so long afterward, in the words already quoted, “Today, if you hear his voice, do not harden your hearts.” (8) For if Joshua had given them rest, God would not have spoken of another day later on. (9) So then, there remains a Sabbath rest for the people of God, (10) for whoever has entered God’s rest has also rested from his works as God did from his. (11) Let us therefore strive to enter that rest, so that no one may fall by the same sort of disobedience.
The rest being spoken of in this passage, is the same thing as the Kingdom of God on Earth under the Kingship of Jesus Christ. Some passages describing this time:
They shall not hurt or destroy in all my holy mountain; for the earth shall be full of the knowledge of the LORD as the waters cover the sea. (10) In that day the root of Jesse, who shall stand as a signal for the peoples–of him shall the nations inquire, and his resting place shall be glorious.
It shall come to pass in the latter days that the mountain of the house of the LORD shall be established as the highest of the mountains, and shall be lifted up above the hills; and all the nations shall flow to it, (3) and many peoples shall come, and say: “Come, let us go up to the mountain of the LORD, to the house of the God of Jacob, that he may teach us his ways and that we may walk in his paths.” For out of Zion shall go the law, and the word of the LORD from Jerusalem. (4) He shall judge between the nations, and shall decide disputes for many peoples; and they shall beat their swords into plowshares, and their spears into pruning hooks; nation shall not lift up sword against nation, neither shall they learn war anymore.
We need to all take note of the warning in verse 11 of Hebrews 4. We can fall away by the same sort of disobedience that caused Israel in the wilderness to fall away. Similar warnings are also given in the previous chapter. Hebrews 3:12-14:
Take care, brothers, lest there be in any of you an evil, unbelieving heart, leading you to fall away from the living God. (13) But exhort one another every day, as long as it is called “today,” that none of you may be hardened by the deceitfulness of sin. For we have come to share in Christ, if indeed we hold our original confidence firm to the end.
Finally, we read later on in Hebrews, how the faithful from all ages, are waiting to receive God’s promise. They will receive this promised rest at the return of Jesus when all the saints will be made perfect together. Hebrews 11:39-40:
And all these, though commended through their faith, did not receive what was promised, (40) since God had provided something better for us, that apart from us they should not be made perfect.