The figures, which were released following a request from the Greater London Authority Conservatives, are to September 2018 because data for October was not available.
British Transport Police data showed there were 1 980 reported incidents between November 2015 and October 2016, compared with 2 838 between November 2017 and September last year.
The figures show a 25 percent increase in total criminal offences recorded on the entire network over the same time period, with 10 450 in 2015-16 compared with 13 101 in 2017-18.
But weapons offences have more than doubled from 42 to 95, while sexual offences increased from 925 to 1 047.
One of the busiest stations on the tube network, is King’s Cross St Pancras station. It was found to have the highest crime rate with 1 339 incidents over the three-year period.
Oxford Circus, Stratford, Victoria and Green Park were also flagged as stations with a high number of recorded offences.
In cases where offences occurred on trains, the final destination was listed as the location of the crime.
BTP Assistant Chief Constable Robin Smith told the BBC: “In the last year crime involving a weapon has increased, however it is important to bear in mind that these figures also include the many knives seized in our targeted, intelligence-led operations against knife crime, for instance Operation Engulf which has been running successfully for a year now.”
A 3 000-strong group of BTP and Metropolitan Police officers are deployed across London’s transport network, one of the busiest networks in the world.
Conservative London Assembly Member Susan Hall called on the mayor to provide “more officers on London’s streets” and to stop wasting money on other issues. “These statistics should spur the mayor into dropping his complacent attitude towards surging crime rates and finally take control of the situation,” she said.
A spokesman for the mayor of London Sadiq Khan admitted that the Met Police needed more money and he has called for the government to reverse cuts made to the force’s budget.