Since you have cinder blocks, you'll want to get a special kind of paint that goes on and acts as a sealer, which is possibly whats on there now. It will prevent the moisture from seeping through the mortor and block.
Next, you'll want to head outside. Make sure all down spouts are pointing away from the head, and if you have too, put extensions on them to make sure they run as far away from the house as possible. You want to keep ANY water from sitting/draining beside the foundation where it will eventually work its way into your house. Weeping tile is another great idea, although its rather expensive and sometimes hard to put in yourself.
You'll want to run a dehumidifier in the basement, atleast for a while (couple of months if you have too) in order to watch the level of humidity/moisture you get through the walls. You don't want water sitting behind the drywall without you knowing it.
If none of that helps to cut down on the water/moisture from getting through the foundation, you only have 2 options left. A water proof membrane/weeping tile/sub pump combo which goes in the house and pretty much guarantee's no more water getting into the basement (I've personally done it many times with no one coming back to complain about water in their basement)...or...dig up the dirt outside of your house and seal and membrane the entire outter wall of your foundation, will stop the water, but also cost 10X as much as the other option.
I worked in concrete and foundation repair for half a decade. Just be lucky its only some moisture getting in and not a waterfall or dirt.