Two molecules of astrophysical interest, normal acetylene (C2H2) and deuterated acetylene (C2D2) were synthesized and their spectra have been recorded using Fourier Transform Interferometer (FTIR) at low resolution between 400 and 4000 cm-1. Vibrational bands and frequencies of interest have been identified and analyzed. Experimental excited rotational constants (B) and ground rotational constant (B) respectively for C2H2 as 35.4172±0.0036 and 35.3348±0.036 GHz while for C2D2 as 25.3820±0.0045 and 25.2771±0.0045 GHz have been determined. At the MP2 level of theory with the aug-cc-pvtz basis set, we calculated the equilibrium rotational constant of C2H2 to be 35.1819 GHz and 25.2495 GHz for C2D2. While, at CCSD (T) level of theory with the same basis set, rotational constant value of 35.0892 and 25.2574 GHz were calculated for C2H2 and C2D2 respectively. The experimental CH and CC bond lengths of acetylene were calculated to be 1.08653 Å and 1.18983 Å respectively. The importance and the astrophysical relevance of these results are discussed.