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INCOME TAXES (Details) - 10K (USD $)
 12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Deferred tax assets:      
Tax discounting of claim reserves $ 19,609,000us-gaap_DeferredTaxAssetsTaxDeferredExpenseReservesAndAccrualsPolicyholderLiabilities $ 22,200,000us-gaap_DeferredTaxAssetsTaxDeferredExpenseReservesAndAccrualsPolicyholderLiabilities  
Unearned premium offset 24,322,000us-gaap_DeferredTaxAssetsTaxDeferredExpenseReservesAndAccrualsUnearnedPremiumsReserve 23,163,000us-gaap_DeferredTaxAssetsTaxDeferredExpenseReservesAndAccrualsUnearnedPremiumsReserve  
Deferred compensation 6,143,000us-gaap_DeferredTaxAssetsTaxDeferredExpenseCompensationAndBenefitsEmployeeCompensation 6,193,000us-gaap_DeferredTaxAssetsTaxDeferredExpenseCompensationAndBenefitsEmployeeCompensation  
Stock option expense 5,046,000us-gaap_DeferredTaxAssetsTaxDeferredExpenseCompensationAndBenefitsShareBasedCompensationCost 4,160,000us-gaap_DeferredTaxAssetsTaxDeferredExpenseCompensationAndBenefitsShareBasedCompensationCost  
NOL carryforward   1,059,000us-gaap_DeferredTaxAssetsOperatingLossCarryforwards  
Other 453,000us-gaap_DeferredTaxAssetsOther 604,000us-gaap_DeferredTaxAssetsOther  
Deferred tax assets before allowance 55,573,000us-gaap_DeferredTaxAssetsGross 57,379,000us-gaap_DeferredTaxAssetsGross  
Total deferred tax assets 55,573,000us-gaap_DeferredTaxAssetsNet 57,379,000us-gaap_DeferredTaxAssetsNet  
Deferred tax liabilities:      
Net unrealized appreciation of securities 92,562,000rli_DeferredTaxLiabilitiesUnrealizedGainsOnSecurities 73,198,000rli_DeferredTaxLiabilitiesUnrealizedGainsOnSecurities  
Deferred policy acquisition costs 22,793,000us-gaap_DeferredTaxLiabilitiesDeferredExpenseDeferredPolicyAcquisitionCost 21,528,000us-gaap_DeferredTaxLiabilitiesDeferredExpenseDeferredPolicyAcquisitionCost  
Book/tax depreciation 3,610,000us-gaap_DeferredTaxLiabilitiesPropertyPlantAndEquipment 2,632,000us-gaap_DeferredTaxLiabilitiesPropertyPlantAndEquipment  
Intangible assets from CBIC acquisition 3,594,000us-gaap_DeferredTaxLiabilitiesGoodwillAndIntangibleAssetsIntangibleAssets 4,235,000us-gaap_DeferredTaxLiabilitiesGoodwillAndIntangibleAssetsIntangibleAssets  
Undistributed earnings of unconsolidated investees 14,728,000us-gaap_DeferredTaxLiabilitiesInvestmentInNoncontrolledAffiliates 12,995,000us-gaap_DeferredTaxLiabilitiesInvestmentInNoncontrolledAffiliates  
Other 571,000us-gaap_DeferredTaxLiabilitiesOther 592,000us-gaap_DeferredTaxLiabilitiesOther  
Total deferred tax liabilities 137,858,000us-gaap_DeferredIncomeTaxLiabilities 115,180,000us-gaap_DeferredIncomeTaxLiabilities  
Net deferred tax liability (82,285,000)us-gaap_DeferredTaxAssetsLiabilitiesNet (57,801,000)us-gaap_DeferredTaxAssetsLiabilitiesNet  
U.S. federal tax rate (as a percent) 35.00%us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate 35.00%us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate 35.00%us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate
Reconciliation of income tax expense attributable to income from operations with amounts computed by applying the U.S. federal tax rate to pretax income from continuing operations      
Provision for income taxes at the statutory federal tax rates 66,320,000us-gaap_IncomeTaxReconciliationIncomeTaxExpenseBenefitAtFederalStatutoryIncomeTaxRate 61,483,000us-gaap_IncomeTaxReconciliationIncomeTaxExpenseBenefitAtFederalStatutoryIncomeTaxRate 49,956,000us-gaap_IncomeTaxReconciliationIncomeTaxExpenseBenefitAtFederalStatutoryIncomeTaxRate
Increase (reduction) in taxes resulting from:      
Dividends received deduction (2,390,000)us-gaap_IncomeTaxReconciliationDeductionsDividends (2,490,000)us-gaap_IncomeTaxReconciliationDeductionsDividends (2,630,000)us-gaap_IncomeTaxReconciliationDeductionsDividends
ESOP dividends paid deduction (4,473,000)us-gaap_IncomeTaxRateReconciliationDeductionsEmployeeStockOwnershipPlanDividends (2,532,000)us-gaap_IncomeTaxRateReconciliationDeductionsEmployeeStockOwnershipPlanDividends (3,596,000)us-gaap_IncomeTaxRateReconciliationDeductionsEmployeeStockOwnershipPlanDividends
Tax-exempt interest income (4,118,000)us-gaap_IncomeTaxReconciliationTaxExemptIncome (3,758,000)us-gaap_IncomeTaxReconciliationTaxExemptIncome (2,995,000)us-gaap_IncomeTaxReconciliationTaxExemptIncome
Unconsolidated investee dividends (1,848,000)us-gaap_IncomeTaxReconciliationDeductionsOther (3,696,000)us-gaap_IncomeTaxReconciliationDeductionsOther (1,848,000)us-gaap_IncomeTaxReconciliationDeductionsOther
Other items, net 551,000us-gaap_IncomeTaxReconciliationOtherAdjustments 404,000us-gaap_IncomeTaxReconciliationOtherAdjustments 499,000us-gaap_IncomeTaxReconciliationOtherAdjustments
Income tax expense: 54,042,000us-gaap_IncomeTaxExpenseBenefit 49,411,000us-gaap_IncomeTaxExpenseBenefit 39,386,000us-gaap_IncomeTaxExpenseBenefit
Effective tax rates (as a percent) 28.50%us-gaap_EffectiveIncomeTaxRateContinuingOperations 28.10%us-gaap_EffectiveIncomeTaxRateContinuingOperations 27.60%us-gaap_EffectiveIncomeTaxRateContinuingOperations
Tax benefit recognized from special dividend paid to ESOP 3,600,000rli_EmployeeStockOwnershipPlanESOPTaxBenefitOfSpecialDividendsPaidToPlan 1,700,000rli_EmployeeStockOwnershipPlanESOPTaxBenefitOfSpecialDividendsPaidToPlan 2,900,000rli_EmployeeStockOwnershipPlanESOPTaxBenefitOfSpecialDividendsPaidToPlan
Effective rate reduction due to special dividend paid to ESOP (as a percent) 1.90%rli_EffectiveIncomeTaxRateReconciliationDeductionsEmployeeStockOwnershipPlanSpecialDividends 1.00%rli_EffectiveIncomeTaxRateReconciliationDeductionsEmployeeStockOwnershipPlanSpecialDividends 2.00%rli_EffectiveIncomeTaxRateReconciliationDeductionsEmployeeStockOwnershipPlanSpecialDividends
Capital gains rate (as a percent) 35.00%rli_CapitalGainsTaxRate    
Dividend received 6,600,000us-gaap_EquityMethodInvestmentDividendsOrDistributions 13,200,000us-gaap_EquityMethodInvestmentDividendsOrDistributions 6,600,000us-gaap_EquityMethodInvestmentDividendsOrDistributions
Lower tax rate (as a percent) 7.00%rli_IncomeTaxExpenseBenefitPercentageOfLowerTaxRate 7.00%rli_IncomeTaxExpenseBenefitPercentageOfLowerTaxRate 7.00%rli_IncomeTaxExpenseBenefitPercentageOfLowerTaxRate
Effective rate reduction due to dividend received (as a percent) 1.00%rli_EffectiveIncomeTaxRateReconciliationDeductionsDividendsReceived 2.10%rli_EffectiveIncomeTaxRateReconciliationDeductionsDividendsReceived 1.30%rli_EffectiveIncomeTaxRateReconciliationDeductionsDividendsReceived
Expected effective tax rate when deferred items reverse in future years (as a percent) 35.00%rli_EffectiveIncomeTaxRateContinuingOperationsAnticipatedOnReversalOfDeferredItems    
Federal and state income taxes paid $ 48,500,000us-gaap_IncomeTaxesPaid $ 36,800,000us-gaap_IncomeTaxesPaid $ 25,900,000us-gaap_IncomeTaxesPaid