The frontman said that he struggled being away from home shortly before the birth of his daughter while the band toured America.
"I had a meltdown. Not a complete breakdown but I just lost it through the realisation of what was going on in my life. I went a bit mad for a couple of days," Meighan told The Sun.
"I panicked. I've never had that before. And I was at breaking point. But the band were there for me and crying helps.
"I cry a lot and I'm not ashamed to say that but America was hard. It was nine weeks of non-stop touring. But we're doing all right there now, so it was worth it and we're going back there in the autumn."
Meighan branded One Direction "d**ks" after they broke America so quickly while Kasabian endured gruelling tours.
Kasabian have previously said that they are hopeful of cracking the US market.
Watch Kasabian's video for 'Days Are Forgotten' below: