CGNU is to change its name to Aviva plc. The new Aviva tag will be used worldwide but some of the group's brand name will be preserved.
They include Norwich Union, which will keep its name but be referred to as "an Aviva company".
The group announced the plan along with financial results showing operating profits up 41% to £2.004bn last year.
General insurance operating profits were up 133% to £945m from £412m in 2000.
The steep rise was due to lower weather-related claims, the company said.
The general insurance performance came in addition to record new worldwide business sales of £15bn in long term savings.
Reorganisation of the general insurance business helped CGNU achieve a combined operating ratio of 102%.
The combined ratio shows the sum of claims and expenses divided by premiums earned. A figure more than 100% shows an underwriting loss.
Group chief executive Richard Harvey said: "In general insurance we have delivered a significant improvement in results through lower weather-related claims and a focused approach to our realigned small commercial and personal lines portfolio.
"Though this action we have achieved our target combined operating ratio of 102% which we believe is capable of being sustained through the underwriting cycle."
He said the group's strategy of moving away from complex commercial lines and long-tail business limited its exposure to the 11 September tragedy.
Less than half of the group's £35m estimated losses from the attacks had been reported in claims by the end of last year. The estimate remained unchanged.
The shareholders' dividend for 2001 was confirmed at 38p a share.
