A small increase in the price of oil, signs of a solution to the Greek debt crisis and investor hopes that interest rates in the UK and US will remain low, helped propel the market on Friday.
The London listing finished the day on 7,022.51, with the index reaching 7,024.21 during the afternoon.
The FTSE 100 was launched in 1984. In 1998 it surpassed its 6,000 level, but it has taken another 17 years to reach the next milestone. In February, it passed a record high of 6,950, set at the time of the dotcom boom in 1999.