The characteristics of the coronal mass ejections preceding the associated X-ray and γ-ray burst solar flares

•We found 845 CME) - Gamma-ray burst monitor solar flare events associated events.•We found that the best interval time is 0–2 h before flare's start time.•The mean time interval for these CME–γ-preflare associated events is 61 min.•The flare's duration means value of 12 min.•Width of associated CME (64°) is slightly wider and speeder than non-associated CME. In this study, investigated 14,786 coronal mass ejection (CME) events and 5092 Gamma-ray Burst Monitor (GBM) solar flare events (called γ-ray burst solar flare) recorded during 2008–2017, by using temporal and spatial conditions criteria, we found 845 (about 16%) CME events associated with γ-ray burst solar flare events only (hereafter, CME–γ-preflare). All the 845 events are associated with solar flares that are detected in both GBM and RHESSI simultaneously. Investigating the characteristics of these events, we found that the best time interval is 0–2 h before the flare's start time. The mean time interval for these CME–γ-preflare associated events is 61 min, with the flare's duration mean value of 12 min, which is greater than non-associated γ-ray solar flare's duration. CME width of CME-γ-preflare associated events 64° is slightly wider and slightly faster (remain lower than solar wind's speed) than non-associated CME 53°.