The thesis covers two aspects of microstrip antenna rndesigns. The first is the analysis and design of singlernelement narrowband rectangular microstrip antenna whichrnoperates at the central frequency of 2.4 GHz and the secondrnaspect is the design of five element broadband Log Periodicrnmicrostrip antenna. Both antennas have been modeled, designedrnand simulated. Basically, transmission line and cavityrnmodeling are going to use to model both antennas. First, therndesign parameters for single element of rectangular patchrnantenna have been calculated from the transmission line modelrnequation and extend the antenna design to five element logrnperiodic microstrip antenna using log periodic analyticalrntechnique. The simulation process has been done throughrnmomentum simulation using Empire software. Each data from thernFinite Difference Time Domain Method (FDTD) simulation extractrnand combine with the microstrip transmission line. Thernrectangular microstrip antenna design uses Flame Retardant 4,rnFR4, microstrip board with dielectric constant 4.7, scalingrnfactor 0.95 and loss tangent is 0.019. The properties ofrnantenna such as bandwidth, S parameter has been investigatedrnand compared between a single element rectangular and a fivernelement log periodic rectangular microstrip antenna. rn.