Is our relationship strong enough to survive?

I've been seeing my Partner for almost a year now and things seemed to have been going great between us, we hardly argue and both have kids from previous relationships who also get on really well together. We have a holiday booked and he is always talking about our future.

We both have the same iphone and I took his by mistake the other day, when I opened the phone there was a conversation he had been having last month with his friend regarding a night out they had last month.

To cut a long story short I basically found out he had kissed a girl and was going to arrange to meet her to possibly do something else, but it didn't feel right so he turned her down.
His mate asked if he liked the girl and did he love me? His answer was simply, yeah I fancy the girl and No not love but i'm really happy and content with her.

I was completely devastated by the whole thing and I've told him that I know and he has admitted that it happened and he felt terrible about the whole thing and how it's me he wants to be with and couldn't and wouldn't of ever seen her again. He couldn't do it and doesn't want to lose me and the kids. He said he knows I love him and he cares do much for me but the fact he's been hurt in the past means it takes him longer to let himself completely fall.

Do I forgive him and just put this behind us?

Jesus would so yeah.

No.

He just told you he doesn't love you. The reasons for that mean little and are none of your concern, as you did not formulate them, and therefore can't change them.

It's hard to hear, but bad not to listen when a man says exactly the truth. Don't ignore it.

I believe you are wasting your time. Sorry.

Since you're too weak to be single, you'll just have to put up with his cheating.

If you can accept the fact that he doesn't love you and obviously he has a tendency to stray. Don't stay on account of the children; that is not the road to your happiness. He obviously likes the fact that you love him. Question your own happiness here?

Probably not, seeing as you seem to spend your spare time on here, asking strangers these questions instead of spending quality time strengthening your blundering relationship.