We report the H 13 CO + (J=1-0) survey observations toward embedded clusters obtained using the Nobeyama 45m telescope, which were performed to follow up our previous study in the C 18 O survey with a dense gas tracer. Our aim is to address the evolution of cluster-forming clumps. We observed the same 14 clusters in C 18 O, which are located at distances from 0.3 to 2.1 kpc with 27 ′′ resolution (corresponding to Jeans length for most of our targets) in H 13 CO + . We detected the 13 clumps in H 13 CO + line emission and obtained the physical parameters of the clumps with radii of 0.24-0.75 pc, masses of 100-1400 M ⊙ , and velocity widths in FWHM of 1.5-4.0 km s −1 . The mean density is ∼ 3.9 × 10 4 cm −3and the equivalent Jeans length is ∼ 0.13 pc at 20 K. We classified the H 13 CO + clumps into three types, Type A, Type B , and Type C according to the relative locations of the H 13 CO + clumps and the clusters (see our previous study). Our classification represents an evolutionary trend of cluster-forming clumps because dense clumps are expected to be converted into stellar constituents, or dispersed by stellar activities. We found a similar but clearer trend than our previous results for derived star formation efficiencies to increase from Type A to C in the H 13 CO + data, and for the dense gas regions within the clumps traced by H 13 CO + to be sensitive to the physical evolution of clump-cluster systems. In addition, we found that four out of 13 H 13 CO + clumps which we named "DVSOs" (Distinct 1 National Astronomical Observatory of Japan 2-21-1 Osawa, Mitaka, Tokyo, 181-8588, Japan 2 Nobeyama Radio Observatory, Nobeyama, Minamimaki, Minamisaku, Nagano 384-1305, Japan -2 -Velocity Structure Objects) have distinct velocity gradients at the central parts of them, i.e., at the location of the embedded clusters. Assuming that the velocity gradients represent the rigid-like rotation of the clumps, we calculated the virial parameter of the H 13 CO + clumps by taking into account the contribution of rotation, and found that the DVSOs tend to be gravitationally unbound. In order to explain the above physical properties for DVSOs in a consistent way, we propose a clump-clump collision model as a possible mechanism for triggering formation of clusters.