The doctrine of election refers to God's choosing of individuals to be the objects of His grace or to fulfill His purposes. Most often God's election is associated with His choice of individuals unto salvation. Simply stated, it means that God, before creation, predetermined certain people to be saved.
Ephesians 1:3-6, 11:
3 Praise be to the God and Father of our Lord Jesus Christ, who has blessed us in the heavenly realms with every spiritual blessing in Christ. 4 For he chose us in him before the creation of the world to be holy and blameless in his sight. In love 5 he predestined us to be adopted as his sons through Jesus Christ, in accordance with his pleasure and will— 6 to the praise of his glorious grace, which he has freely given us in the One he loves.
11 In him we were also chosen, having been predestined according to the plan of him who works out everything in conformity with the purpose of his will
The Bible states in Romans 10:9-10 that those who confess "Jesus is Lord" and believe in their hearts will receive God's salvation, "9 That if you confess with your mouth, "Jesus is Lord," and believe in your heart that God raised him from the dead, you will be saved. 10 For it is with your heart that you believe and are justified, and it is with your mouth that you confess and are saved."
We also learn in Ephesians 2:8-9, that it is God who gives us the faith to confess and believe, "8 For it is by grace you have been saved, through faith—and this not from yourselves, it is the gift of God— 9 not by works, so that no one can boast."
Therefore, based on the Word of God, is it God who chooses us for His salvation or do we choose to believe in Him and confess Jesus as our Lord and Savior as our means of salvation? The fact of the matter is that both are true! So how do we grasp and understand these precious truths from Scripture? The fact is that in our finite minds we will never be able to fully understand, but as Bible-believing Christians we must accept both as true. A person cannot pick and choose what they believe from God's Word because "All Scripture is God-breathed" (2 Timothy 3:16), they either believe it all or they don't.
"How these two sides of God’s truth—His sovereignty in choosing us (Rom. 9) and our responsibility to confess and believe (Rom. 10)—reconcile is impossible for us to understand fully. But Scripture declares both perspectives of salvation to be true (John 1:12-13). It’s our duty to acknowledge both and joyfully accept them by faith." - John MacArthur