They are beautiful! Yes, they will leak, as they look like they're built to facilitate drainage which is good for plants. This is a good thing.
The simple solution is to put a tray or something similar underneath. Boot trays are great, you know, the type that are supposed to be put near doorways so you can put your wet boots on them when you come inside.
A small word of warning--I had some planters like these and the fabric degraded over time. It was a lot of work to remove the plants and soil, and to reline them. My eventual solution was to purchase large bags of planter mix, poke lots of drainage holes in one side of the bag and then place the whole bag into the planter with the holes on the bottom. Then, I cut open the top of the bags and planted my plants directly into the mix. It worked like a charm and held for many years.
Good luck!