Visitors for the first five months were "a couple of percent" higher than a year before, despite poor weather in the early part of 2014 and the Dawlish rail line being closed because of flooding.
Eden launched in 2001 with up to 2m visitors a year but 2013 saw only 858,000 visitors, a factor which led to 68 staff redundancies during 2013/14.
Plans for the year ahead include a youth hostel on the site.
Finance director David Harland said: "These results show that Eden has turned the corner after a difficult year in which we had to make some very hard decisions.
"We have lost valuable staff in a painful restructure process but by cutting costs across the board we have ensured that the project is now on a very sound footing."