The phrase "successive years" means that something is happening or occurring in a row or one after another for a number of years without any gaps or breaks. Full definition
This is the company's sixth successive year of growth in sales, with sales in 2015 more than double the 2009 figure. (autocarpro.in)
If there are interest rate increases in successive years, you will lose the cost advantage that currently exists. (inc.com)
Overall, most observers expect growth of the world economy, though not as strong as last year, to continue in 2005 at an above - average pace for the third successive year. (rba.gov.au)