Blossom Drop
Pepper flowers or small fruit may abort and fall off due to stressful growing conditions including: high relative humidity, excessive wind, improper nutrition, disease or insect damage or dry conditions. Peppers are most sensitive to flower or fruit drop at daytime temperatures above 30- 32°C (86- 90°F) or below 15°C (59°C) or night time temperatures above 21°C (70°F). Some varieties are more prone to this problem than others.
Tips:
Some blossom drop is normal as the plant often sets more flowers than it could support as fruit.