Boiling point and vapor pressure are directly related - they are inversely proportional.
Think about it conceptually: when you boil something, it is converting from liquid to gas phase and escaping the container. Vapor pressure is essentially measuring how much pressure the escaping gas is exerting.
If you raise the boiling point, it is harder to make something boil - which means that less of it is escaping as gas, and your vapor pressure is lower.
If you lower the boiling point, it is easier to boil, so more of it is escaping as gas - exerting more (vapor) pressure.
Keep in mind - a substance doesn't need to be boiling to exert vapor pressure.