The main goal of the paper is to prove \(L_p\) Brunn-Minkowski inequalities for radial Blaschke-Minkowski homomorphisms. Let \(V\) denote the volume and \(\hat{+}_p\) be the \(L_p\) harmonic radial sum. The authors prove that for star bodies \(K,L\), \(p\geq 1\) and \(\Psi\) a Blaschke-Minkowski homomorphism, the following inequality holds: \[ V(\Psi(K\hat{+}_p L))^{-\frac{p}{n(n-1)}}\geq V(\Psi K)^{-\frac{p}{n(n-1)}}+V(\Psi L)^{-\frac{p}{n(n-1)}} \] with equality if and only if \(K\) and \(L\) are dilates of each other. The authors introduce the so-called \(L_p\) radial Blaschke sum, \(1\leq p