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Share-based compensation (Narrative) (Detail) - USD ($)
12 Months Ended
Jan. 14, 2016
Dec. 31, 2018
Dec. 31, 2017
Dec. 31, 2016
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Unrecognized compensation expense related to the unvested share-based awards   $ 458,000,000    
Weighted-average expected recognition period for the unrecognized compensation expense   1 year    
Weighted average remaining contractual term for stock options outstanding   6 years    
Weighted-average remaining contractual term for stock options exercisable   4 years 9 months 12 days    
Cash received from exercise of stock options   $ 78,000,000    
Restricted stock awards granted to non-management directors   20,784 22,013 23,812
Amounts paid during period by employees for the purchase of shares under the ESPP   $ 37,000,000 $ 34,000,000 $ 24,000,000
Number of shares purchased during period by employees pursuant to the provisions of the ESPP   347,116 271,185 211,492
Discounted purchase price from market price for the ESPP   85.00%    
Share-based Compensation Arrangement by Share-based Payment Award, Maximum Employee Subscription Rate for the ESPP   10.00%    
Maximum        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Employee Stock Purchase Plan Authorized Amount   $ 25,000    
Performance Shares        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Vesting period of award   3 years    
Stock options        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Vesting period of award   3 years    
Stock option term in years   10 years    
Restricted stock        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Vesting period of award   4 years    
Restricted Stock Units (RSUs)        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Vesting period of award   1 year    
Number of deferred restricted stock units   251,843    
Restricted Stock Units (RSUs) | Minimum [Member]        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Vesting period of award   1 year    
Restricted Stock Units (RSUs) | Maximum        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Vesting period of award   3 years    
ACE Limited 2004 Long-Term Incentive Plan [Member] | Restricted stock        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Vesting period of award   4 years    
Common shares        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Common shares remaining as available for issuance   2,104,942    
Employee Stock Ownership Plan (ESOP), Shares in ESOP   6,500,000    
Common shares | Chubb Limited 2016 Long-Term Incentive Plan [Member]        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Common shares authorized for issuance under plan   19,500,000    
Common shares remaining as available for issuance   14,100,867    
The Chubb Corporation [Member]        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Total Value of Equity Awards Issued in Acquisition $ 525,000,000      
Attributed Value Equity Awards Assumed in Acquisition $ 323,000,000