We present the results of a photometric study of RR Lyrae variables in the field of the globular cluster M55. We have discovered nine new RR Lyrae stars, increasing the number of known variables in this cluster to 15 objects. Five of the newly discovered variables belong to Bailey type RRc and two to type RRab. Two background RRab stars are probable members of the Sagittarius dwarf galaxy. Fourier decomposition of the light curves was used to derive basic properties of the present sample of RR Lyrae variables. From an analysis of the RRc variables we obtain a mean mass of M = 0.53 ± 0.03M ⊙ , luminosity log L = 1.75 ± 0.01, effective temperature T ef f = 7193 ± 27 K, and helium abundance Y = 0.27 ± 0.01. Based on the B − V colors, periods and metallicities of the RRab stars we estimate the value of the color excess for M55 to be equal to E(B − V ) = 0.11 ± 0.03. Using this value we derive the colors of the blue and red edges of the instability strip in M55. The blue edge lies at (B − V ) 0 = 0.20 mag and the red edge lies at (B − V ) 0 = 0.38 mag. We estimate the values of the visual apparent and dereddened distance moduli to be 13.65 ± 0.11 and 13.31 ± 0.11, respectively. The light curves of three of the RRc variables exhibit changes in amplitude of over 0.1 mag on the time scale of less than a week, rather short for the Blazhko effect, but with no evidence for another radial pulsational frequency. However we do detect other periodicities which are clearly visible in the light curve after removing variations with the first overtone radial frequency. This is strong evidence for the presence of non-radial pulsations, a behavior common for δ Scuti stars but not yet observed among RR Lyr variables.