According to the New Testament, elders are responsible for the primary leadership and oversight of the church. In scripture you can see the calling of elders:
“Elders lead the church [1 Tim 5:17; Titus 1:7; 1 Peter 5:1–2], teach and preach the Word [1 Timothy 3:2; 2 Timothy 4:2; Titus 1:9], protect the church from false teachers [Acts 20:17, 28–31], exhort and admonish the saints in sound doctrine [1 Timothy 4:13; 2 Timothy 3:13–17; Titus 1:9], visit the sick and pray [James 5:14; Acts 6:4], and judge doctrinal issues [Acts 15:6].
In biblical terminology, elders shepherd, oversee, lead, and care for the local church”.
*Taken from the article written by Matt Perman from Desiring God entitled: What is the Role of an Elder?