Abstract: A limb construction for a compound archery bow includes a handle riser and a bow limb attached to the handle riser. The bow limb comprises a pair of independent and separate resilient limb members projecting from the handle riser. The limb members are spaced apart from each other and each have a tip portion opposite the handle riser. A pulley is attached to the bow limb between respective tip portions of the limb members. The handle riser includes a limb mounting bracket. The limb mounting bracket has at least two recesses and at least two mounting pins. Each mounting pin has a projection. The projections are matingly engageable with the recesses, and each mounting pin is also engaged with a respective limb member. The recesses may be cup-shaped and the projections may be dome shaped. A rocking plate is mounted between the projections and the limb members. A shim is between the limb mounting bracket and the bow limb.