While I don't have a link, it is often reported that women are more likely to use poison/overdose for suicide attempts in the U.S. - it is a reasonable to assume it is the same case in the UK.
There's some other stuff going on too.
Possibly women have better social support networks; they're possibly better than men at asking for help and talking about the problems they're having. (This is one reason people keep banging on about getting men to talk).
Possibly women find it easier to get psychiatric help. Men tend to see doctors less often, and tend not to talk about some subjects when they're there. Women see doctors more often, and talk about emotions more readily.
Men are more vulnerable to some "triggers" -- relationship breakdown (partly because they sometimes lose contact with children and for the social network stuff mentioned above) or loss of job.