Crop Insurance is majorly depends on the crop season. In India we have 3 seasons mentioned below.
Rabi Season: cropping season is from October –March (Winter)
Kharif Season Cropping season is from July –October during the south-west monsoon
Summer Crops: Cropping Season is from March-June

Following Insurance Companies are offering crop insurance in India

S.No Name of The Company Web Address
1 Agriculture Insurance Company of India Ltd http://www.aicofindia.com/AICEng/Pages/Default.aspx
2 Bajaj Allianz General Insurance Co. Ltd http://www.bajajallianz.com/Corp/commercial-insurance/commercial-insurance.jsp
3 Cholamandalam MS General Insurance Co. Limited http://www.cholainsurance.com/rural-insurance.aspx
4 Future Generali India Insurance Company Limited http://www.futuregenerali.in/GeneralInsurance/RuralProducts/RuralProducts.aspx
5 HDFC ERGO General Insurance Co. Ltd. https://www.hdfcergo.com/rural-insurance/weather-insurance.html
6 ICICI Lombard General Insurance Co. Ltd https://www.icicilombard.com/rural-insurance/index.html
7 IFFCO-Tokio General Insurance Co. Ltd http://www.iffcotokio.co.in/micro-rural-insurance
8 SBI General Insurance Co. Limited -
9 Reliance General Insurance Co. Ltd. https://www.reliancegeneral.co.in/Insurance/Claims/Crop-Insurance.aspx
10 Tata AIG General Insurance Co. Ltd. http://www.tataaiginsurance.in/rural-insurance/AboutRural/
11 Universal Sompo General Insurance Company Limited http://www.universalsompo.com/products/commercial/11-products/commercial/32-farmer-s-package-policy
Note: For More Information Please visit your Agriculture Officer/Bank/Insurance representative at your location.