Ideally, and this will save a lot of wasted time, you need the fault codes from the ABS system - it will tell you where the problem lies. A generic OBD reader is no good for this, you need either Honda HDS, or one of the multi-manufacturer systems that can access ABS.
Most likely is one of the front ABS sensors - give the wiring to the sensors a good looking at first, examine the wires carefully between the hub and the connector. Look for any signs of cracking, particularly at the ends, and feel for any bumps or kinks when you flex the cables. Next stage is the measure the resistance of all the sensor circuits with a meter, as described in the previous post.
If you are fairly confident that all is well, the other fairly common issue at age and/or high miles is ABS modulator failure. There are a couple of fairly common issues which can be fixed, either by sending the modulator for repair, or you can DIY if you feel confident enough. A new modulator is usually out of the question due to cost.
The two common problems which afflict the ABS modulator are dry joints on the circuit board inside, and worn out motor brushes. At that mileage, if it did point to the modulator, I would suspect the latter. There are a few threads one here about how to deal with these faults, we can find them out if you get to that stage. Unfortunately, unless you are prepared to have a go at DIY, modulator failure can get expensive.