1: δίδωμι
(Strong's #1325 — Verb — didomi — did'-o-mee )

"to give," is rendered "grant" in Mark 10:37; Luke 1:74; Acts 4:29; 11:18; 14:3 . See GIVE.

2: δωρέομαι
(Strong's #1433 — Verb — doreo — do-reh'-om-ahee )

"to present, bestow" (akin to No. 1), is rendered "granted" in Mark 15:45 , RV (AV, "gave"); in 2—Peter 1:3,4 , "hath granted," (AV, "gave;" it signifies more than "to give"); then, "to give freely, bestow," rendered "to grant" in Acts 3:14; 27:24 , RV (AV, "given"); Philippians 1:29 , RV; Philemon 1:22 , RV. See DELIVER.